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OpenStudy (happykiddo):
wooden plate is shaped as a pentagon. The measure of one angle is 80°. The remaining interior angles are obtuse and of equal measure. What is the measure of each obtuse angle in the pentagon? 92° 115° 135° 160°
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OpenStudy (anonymous):
115
OpenStudy (mertsj):
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OpenStudy (mertsj):
I see that a pentagon can be divided into 3 triangles. Since each triangle has an angle sum of 180 that makes 540 degrees total. We know that one angle is 80 so that leaves 540-80=460 for the remaining 4 angles. Since 460/4=115, choose that answer.
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