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

Question

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

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. Angle $b$ and the $80^{\circ}$ angle are vertical angles, so $b = 80^{\circ}$.

Step2: Use linear - pair property

The sum of angles in a linear pair is $180^{\circ}$. Since $c$ and the $80^{\circ}$ angle form a linear pair, $c=180 - 80=100^{\circ}$.

Answer:

$b = 80^{\circ}$, $c = 100^{\circ}$