wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

One pair of the opposite angles of a cyclic quadrilateral is congruent. Write the measures of these angles.

Open in App
Solution

Given: Opposite angles of a cyclic quadrilateral are equal.
Let the angles of the quadrilateral be ∠A, ∠B, ∠C and ∠D.
So,∠A = ∠C
But ∠A + ∠C = 180° (Sum of opposite angles of a cyclic quadrilateral is 180°)
⇒ 2∠A = 180°
⇒ ∠A = 90°
So, ∠C = ∠A = 90°

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Quadrilaterals
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon