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

Question

find the measure of the missing angles.
answer attempt 2 out of 2
d = 105° e = 32° f = 32°
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Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle \(d\) and the \(105^{\circ}\) angle are vertical angles, so \(d = 105^{\circ}\).

Step2: Use vertical - angle property for \(e\) and \(f\)

The angle of \(32^{\circ}\) and angle \(e\) are vertical angles, so \(e=32^{\circ}\). Angle \(e\) and angle \(f\) are vertical angles, so \(f = 32^{\circ}\) since vertical angles are congruent.

Answer:

\(d = 105^{\circ}\), \(e = 32^{\circ}\), \(f = 32^{\circ}\)