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find the measure of the missing angles. answer attempt 1 out of 3 b = c…

Question

find the measure of the missing angles.
answer
attempt 1 out of 3
b =
c =
submit answer

Explanation:

Step1: Find angle \( b \)

Vertical angles are equal. Angle \( b \) and the \( 85^{\circ} \) angle are vertical angles. So \( b = 85^{\circ} \).

Step2: Find angle \( c \)

Adjacent angles on a straight - line sum to \( 180^{\circ} \). Since \( b + c=180^{\circ} \) and \( b = 85^{\circ} \), then \( c=180 - 85 \).

$$c = 95^{\circ}$$

Answer:

\( b = 85^{\circ} \), \( c = 95^{\circ} \)