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you realize theres room in your design for another shape, so you choose…

Question

you realize theres room in your design for another shape, so you choose the triangle. you want the first interior angle to measure 32°. if you want a second interior angle to be double the measurement of the first interior angle, what will be the measure of the third interior angle? 66° 24° 84° 64°

Explanation:

Step1: Calculate the second interior angle

The first interior angle is \(32^{\circ}\). The second interior angle is double the first, so \(2\times32^{\circ}=64^{\circ}\).

Step2: Calculate the third interior angle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let the third angle be \(x\). Then \(32^{\circ}+64^{\circ}+x = 180^{\circ}\). So \(x=180^{\circ}-(32^{\circ}+64^{\circ})\).

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Answer:

84°