Question
Download Solution PDFIn the given figure, ∠ABC = 81° and ∠ACB = 9°. What is the value of ∠BDC?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
∠ABC = 81°
∠ACB = 9°
Concept used:
The angles at the circumference subtended by the same arc are equal.
The sum of the interior angles of the triangle is 180°.
Calculation:
In △ ABC
⇒ ∠ABC +∠ACB + ∠BAC = 180° (Angle sum property)
⇒ 81° + 9° + ∠BAC = 180°
⇒ ∠BAC = 180° - 90° = 90°
Now,
⇒ ∠BAC = ∠BDC = 90° (angle in same segment)
∴ The correct answer is ∠BDC = 90°.
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