Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi
Telugu

Question

Download Solution PDF

If two parallel lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is

This question was previously asked in
Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
Download PDF Attempt Online
View all Bihar STET Papers >
  1. 1
  2. 2
  3. 3
  4. 4

Answer (Detailed Solution Below)

Option 1 : 1
Free Tests
View all Free tests >
Free
Bihar STET Paper 1 Social Science Full Test 1
11.8 K Users
150 Questions 150 Marks 150 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept used:

When two parallel lines are intersected by a transversal, the pairs of interior angles on the same side of the transversal are supplementary, which means they add up to 180 degrees.

Calculation:

F1 Teaching Savita 10-6-24 D1

Here ∠1 and ∠4 & ∠2 and ∠3 are the pair of interior angles, but these two are on the different side.

Thus, there is only one of the interior angles on the same side of the transversal. 

∴ The correct answer is option (1).

Download Solution PDF
Latest Bihar STET Updates

Last updated on Jul 3, 2025

-> The Bihar STET 2025 Notification will be released soon.

->  The written exam will consist of  Paper-I and Paper-II  of 150 marks each. 

-> The candidates should go through the Bihar STET selection process to have an idea of the selection procedure in detail.

-> For revision and practice for the exam, solve Bihar STET Previous Year Papers.

‹‹ Previous Ques
Next Ques ››

More Lines and Angles Questions

Q1.Let AB and CD be two parallel lines and PQ be a transversal such that PQ intersects AB at the point R and CD at the point S, respectively. If ∠BRP = (2x + 13)° and ∠DSP = (3x − 22)°, then find ∠CSP.
Q2.AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB = 59º. G is a point between AB and CD such that ∠BEG = 50º and ∠GFE = 33º. What is the measure of ∠EGF?
Q3. AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB = 56°. G is a point between AB and CD such that ∠BEG = 32° and ∠GFE = 47°. What is the measure of ∠EGF?
Q4.The larger of two supplementary angles is 50° more than the smaller one. The smaller angle (in degree) is:
Q5.The larger of two supplementary angles is 28° more than the smaller one. The smaller angle (in degree) is:
Q6.How many rays can be drawn from a given point ?
Q7.OA, OB, OC are 3 lines in a plane which meet at O. If the angles ∠AOB, ∠BOC, ∠COA are 2x, 5x, 8x respectively (where x is a positive angle), then x equals:
Q8.In the figure, OP⊥OA and OQ⊥OB. Find ∠POQ if ∠AOB = 20o
Q9.In the given figure if PQ || RS, then the value of x is -
Q10.Find the value of x in the following diagram, where both the lines represent chords of the circle, and the point denotes the centre of circle. Also given that a = b = x and c = 36 and d = 14.

More Geometry Questions

Q1.For a regular polygon, the sum of the interior angles is 250% more than the sum of its exterior angles. Each interior angle of the polygon measures x°. What is the value of x?
Q2.The ratio of the lengths of two corresponding sides of two similar triangles is 15 : 14. The ratio of the areas of these two triangles, in the order mentioned, is:
Q3. If ∆ ABC ∼ ∆ XYZ, AB = 6 cm, XY = 8 cm, YZ = 12 cm and ZX = 16 cm, then find the  perimeter of ∆ ABC.
Q4. In △ABC, BD ⟂ AC at D and ∠DBC = 22°. E is a point on BC such that ∠CAE = 36°. What is the measure of ∠AEB?
Q5.Let AB and CD be two parallel lines and PQ be a transversal such that PQ intersects AB at the point R and CD at the point S, respectively. If ∠BRP = (2x + 13)° and ∠DSP = (3x − 22)°, then find ∠CSP.
Q6.ABCD is a trapezium in which BC ∥ AD and AC = CD. If ∠ABC = 69° and ∠BAC = 23° , then what is the measure of ∠ACD (in degree) .?
Q7.AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB = 59º. G is a point between AB and CD such that ∠BEG = 50º and ∠GFE = 33º. What is the measure of ∠EGF?
Q8. AB is parallel to CD. A transversal PQ intersects AB and CD at E and F, respectively, and ∠PEB = 56°. G is a point between AB and CD such that ∠BEG = 32° and ∠GFE = 47°. What is the measure of ∠EGF?
Q9.What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the circle?
Q10.In quadrilateral ABCD, AB = 17 cm, BC = 8 cm, CD = 9 cm, AD = 12 cm, and AC = 15 cm. What is the area (in cm2) of the quadrilateral?
Suggested Test Series
View All >
Bihar STET Paper 1 (माध्यमिक) Mock Test 2024
321 Total Tests with 3 Free Tests
Start Free Test
Pedagogy for All Teaching Exams (Paper 1 & 2) - Let's Crack TET!
345 Total Tests with   3 Free Tests
Start Free Test

More Quantitative Aptitude Questions

Q1.The average weight of 12 bags of rice is 45 kg. When the weights of 3 bags of rice with weights (w+5) kg, (w−15) kg, and (w+40) kg are added, the average weight is increased by 2 kg. Find the value of 'w'.
Q2.The value of a laptop depreciates by 10% every year. The laptop is sold after 3 years at a discount of Rs. 270 on its price at that time. What is the total loss percent incurred after selling the laptop if it was purchased at Rs. 10,000?
Q3.Priya and Rahul started a project together, and after 'k' days, Priya left and Rahul finished the remaining project in 8 days. The time taken by Rahul and Priya alone to complete the whole project are in the ratio 2:1 respectively. If Rahul can complete the entire project in 20 days, then calculate the value of 'k'.
Q4.12 years ago, the sum of the ages of P, Q, and R together was 61 years. The ratio of the present age of P to Q is 2:3, and P is 8 years older than R. If the ratio of the present age of P to S is 5:7, then find the present age of S.
Q5.Three times the length of a rectangle is equal to seven times its breadth. The area of the rectangle is 2352 sq. cm. What is the area of a square whose perimeter is equal to that of the rectangle?
Q6.Two containers X and Y contain a mixture of milk and water. In container X, the ratio of milk to water is 5:2. In container Y, the ratio of milk to water is 3:4. The mixtures from X and Y are mixed together in the ratio 7:5 respectively to form a new mixture. How much milk is present in 84 liters of the new mixture?
Q7.A box contains 6 blue balls, y white balls, and (y + 4) black balls. The probability of selecting a white ball at random is 1/4. If two balls are drawn simultaneously, what is the probability that both balls are black?
Q8.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. 12x² + 7x − 12 = 0 II. 8y² − 18y + 9 = 0
Q9.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. x² − 35x + 294 = 0 II. y² − 38y + 345 = 0
Q10.Direction: In the given question, two equations numbered l and II are given. Solve both equations and mark the appropriate answer. I. x² − 22x + 105 = 0 II. y² − 20y + 96 = 0
Important Exams
Super Coaching
Exams
Test Series
Previous Year Papers
Objective Questions
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti sequence teen patti - 3patti cards game online teen patti teen patti casino download teen patti wala game