# What is the measure of angle a?

May 16, 2018

$m \angle A = {65}^{\circ}$

#### Explanation:

According to the Inscribed Quadrilateral Theorem, opposite angles must be supplementary. With this, we can state that:

${148}^{\circ} + {x}^{\circ} = {180}^{\circ}$

So

$x = {32}^{\circ}$

Given that value, we can find the measure of angle A to be

${\left(2 \cdot 32 + 1\right)}^{\circ} = {65}^{\circ}$