Find the measure of the following angles.

Answer:
[tex] m\angle A = 79\degree[/tex]
[tex] m\angle B = 112\degree[/tex]
Step-by-step explanation:
ABCD is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
[tex] m\angle A + m\angle C = 180\degree[/tex]
[tex] m\angle A + 101\degree = 180\degree[/tex]
[tex] m\angle A = 180\degree-101\degree[/tex]
[tex] \red{\bold {m\angle A = 79\degree}} [/tex]
[tex] m\angle B + m\angle D = 180\degree[/tex]
[tex] m\angle B + 68\degree = 180\degree[/tex]
[tex] m\angle B = 180\degree-68\degree[/tex]
[tex] \purple {\bold {m\angle B = 112\degree}} [/tex]