Questions: Find the measure of angles.

Find the measure of angles.
Transcript text: Find the measure of angles.
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Solution

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Solution Steps

Step 1: Find the supplementary angle to the given angle

Angle 1 and the angle measuring 84° are supplementary angles, meaning they add up to 180°. Therefore, the measure of angle 1 is 180° - 84° = 96°.

Step 2: Find the measure of angle 6

Angles 1 and 6 are corresponding angles, meaning they are congruent. Since angle 1 measures 96°, angle 6 also measures 96°.

Step 3: Find the measure of angle 5

Angles 5 and 6 are supplementary angles. Since angle 6 measures 96°, angle 5 measures 180° - 96° = 84°.

Final Answer: The measure of angle 5 is 84°.

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