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2 months ago

If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure.

Mathematics

1 answer:

lawyer [12.5K]2 months ago

8 0

According to the details provided in the question, m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°. Since ∠2 is congruent to ∠9 (alternate interior angles), we establish that m∠2 = m∠9 = 41°. Utilizing the angle sum property, we have m∠8 + m∠9 + m∠10 = 180°, leading to m∠8 + 41 + 109 = 180°. Thus, m∠8 equates to 30°. From the triangle's angle sum, m∠2 + m∠7 + m∠8 = 180°, resulting in 41 + m∠7 + 30 = 180°. Consequently, m∠7 calculates to 109°. Also, m∠6 + m∠7 = 180°, so m∠6 comes to 71°. Given that m∠5 + m∠4 = 180°, we have m∠4 = 86°. Lastly, using the triangle angle sum theorem again, m∠4 + m∠3 + m∠9 = 180°, so m∠3 calculates to 53°. Thus, through the angle relationship, m∠1 + m∠2 + m∠3 = 180°, leading to m∠1 = 86°.

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The variable studied here represents "Weekly food expenses incurred by an American family"($)

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