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In Math / Senior High School | 2024-09-06

You DoRefer to the figure at the rightfor the following questions.Show your complete solution.1. If mz6 = 107°, what isthe measure of its adjacent angle?2. If m42 = 67°, m1 = ?3. What is mZ3?563214​

Asked by elyshacasandra13

Answer (1)

Answer:1. The measure of the adjacent angle is 73°.2. m∠1 = 67°.3. m∠3 = 113°.Step-by-step explanation:1. Angles 6 and 5 are adjacent angles, and they form a linear pair. Linear pairs are supplementary, meaning they add up to 180°. Therefore, m∠5 = 180° - m∠6 = 180° - 107° = 73°.2. Angles 1 and 2 are vertical angles. Vertical angles are congruent, meaning they have the same measure. Therefore, m∠1 = m∠2 = 67°.3. Angles 3 and 4 are supplementary angles, meaning they add up to 180°.We know that m∠2 = m∠1 = 67°. Since angles 1 and 4 are vertical angles, m∠4 = 67°. Therefore, m∠3 = 180° - m∠4 = 180° - 67° = 113°.

Answered by seayou | 2024-09-06