A wooden plate is shaped as a pentagon. The measure of one angle is 20°. The remaining interior angles are obtuse and of equal measure.

What is the measure of each obtuse angle in the pentagon?

Question

A wooden plate is shaped as a pentagon. The measure of one angle is 20°. The remaining interior angles are obtuse and of equal measure.  
 
What is the measure of each obtuse angle in the pentagon?

anonymous · Answer

130°
		140°
		155°
		175°

directrix · Answer

130°
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The sum of the interior angles of a pentagon is 540. After removing 20 degrees, the remaining 4 angles have a sum of 520. The remaining 4 angles are congruent.

520/4 = 130 per angle

anonymous · Answer

Ok thanks