The correct answer for this question would be the last option: 120°. So how did we get 120°? Take note that the triangle is inside a circle. A circle is 360°. So, the triangle inside is an equilateral triangle. Therefore, all the arcs inside the circle are also equal. So what we are going to do is divide 360 by 3 and we get 120. Which makes the answer 120°. I hope that this answer helps.
The lines are of the same length and the angles are of the same measure. If you divide the angles by the 360° degree circle, 1/3 of the circle is= 120°
Answer from: Quest
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Answer from: Quest
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1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given