Question
Download Solution PDFIf the angles of a pentagon are in the ratio 1 : 3 : 6 : 7 : 10, then the smallest angle is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Angles of a pentagon are in the ratio 1 : 3 : 6 : 7 : 10.
Sum of interior angles of a pentagon = 540º.
Formula Used:
Sum of angles in a polygon = (n - 2) × 180, where n is the number of sides.
Individual angle = (Ratio of angle / Total ratio) × Sum of angles.
Calculation:
Total ratio = 1 + 3 + 6 + 7 + 10 = 27.
Smallest angle corresponds to ratio 1.
Smallest angle = (1 / 27) × 540.
⇒ Smallest angle = 540 / 27.
⇒ Smallest angle = 20º.
The smallest angle is 20º.
Last updated on Mar 12, 2025
-> The MP Police Constable 2023 Final Merit List has been out on 12th March 2025.
-> MP Police Constable 2025 Notification will soon be released on the official website.
-> The The Madhya Pradesh Professional Examination Board (MPPEB) will announce more than 7500 Vacancies for the post of constable.
-> Previously, the notification had invited eligible candidates to apply for 7,090 constable posts.
-> Candidates who have passed 10th or 12th are eligible to apply.
-> The final candidates selected will receive a salary between 19,500 and 62,600 INR.