Question

find the measure of the missing angles. 93° b c answer b = c =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle opposite the given $93^{\circ}$ angle is equal to it. So $b = 93^{\circ}$.

Step2: Use linear - pair property

A linear pair of angles sums to $180^{\circ}$. Since $b$ and $c$ form a linear pair, $b + c=180^{\circ}$. Substitute $b = 93^{\circ}$ into the equation: $93^{\circ}+c = 180^{\circ}$. Then $c=180^{\circ}-93^{\circ}=87^{\circ}$.

Answer:

$b = 93^{\circ}$, $c = 87^{\circ}$