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Question
- amerie is designing a custom necklace charm. the measures that she knows are shown in the diagram below. what should amerie record as the measure of ∠p? the measure of ∠p is select o 124° o 21° o 83° o 62°
Step1: Recall angle - sum property of a triangle
The sum of the interior angles of a triangle is 180°. In triangle PUB, we know two of the angles: ∠U = 62° and ∠B=35°.
Step2: Calculate ∠P
Let ∠P=x. Then, using the angle - sum property x + 62°+35° = 180°. Solving for x gives x=180°-(62° + 35°)=180° - 97° = 83°.
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83°