159k views
22 votes
Find the measure of the following angles.

Find the measure of the following angles.-example-1
User Kinezu
by
5.2k points

1 Answer

9 votes

Answer:


m\angle A = 79\degree


m\angle B = 112\degree

Explanation:

ABCD is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,


m\angle A + m\angle C = 180\degree


m\angle A + 101\degree = 180\degree


m\angle A = 180\degree-101\degree


\red{\bold {m\angle A = 79\degree}}


m\angle B + m\angle D = 180\degree


m\angle B + 68\degree = 180\degree


m\angle B = 180\degree-68\degree


\purple {\bold {m\angle B = 112\degree}}

User LubosD
by
3.9k points