Find the measure of the following angles.

Question

asked Aug 13, 2022 159k views

1 Answer

LubosD · Answer 1 · 2022-08-18T02:31:49+0000

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,

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

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

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

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

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

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

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

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