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# How many sides doesthe polygon have if x + y = 80? In the figurebelow, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. A. Ten
B. Nine
C. Eight
D. Seven
E. Six

This question is part of SAT Section 1 - Group 5
Asked by Mmmaxwell, Last updated: Jan 12, 2020

### Request 0Follow Share    Answer AnonymouslyAnswer Later Copy Link   #### E. Stanley

E. Stanley, Technical writer, Indianapolis

The correct answer to this question is B, nine. The figure has four sides, which means that the sum of all the angles would be 360 degrees. Being that x plus y equals 80, the sum of the other two angles would be 280. With the sum of the other two angles being 280 and those angles have equal measurements, they must be 140 degrees. In equation form, this can be solved by the following:sum of all angles' measures =180(n-2), where n = number of sides
180 (3-2)=180    #### John Smith

John Smith  Answered Jan 11, 2017

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