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find the measure of the missing angles. answer attempt 1 out of 2 b = °…

Question

find the measure of the missing angles. answer attempt 1 out of 2 b = ° c = °

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. Angle $b$ and the $88^{\circ}$ angle are vertical angles. So $b = 88^{\circ}$.

Step2: Use linear - pair property

Angles $b$ and $c$ form a linear - pair (a straight - line), and the sum of angles in a linear - pair is $180^{\circ}$. So $c=180 - b$. Substitute $b = 88^{\circ}$ into the equation, we get $c=180 - 88=92^{\circ}$.

Answer:

$b = 88^{\circ}$, $c = 92^{\circ}$