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

Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle $b$ and the $89^{\circ}$ angle are vertical angles. So $b = 89^{\circ}$.

Step2: Use linear - pair property

Angles $b$ and $c$ form a linear - pair (a straight - line angle which is $180^{\circ}$). So $c=180 - b$. Substitute $b = 89^{\circ}$ into the formula, we get $c=180 - 89=91^{\circ}$.

Answer:

$b = 89$
$c = 91$