How many sides doesthe polygon have if x + y = 80? In the - ProProfs Discuss

# How many sides doesthe polygon have if x + y = 80? In the figurebelow, a shaded polygon which has equalÂ sides and equal angles is partially covered with a sheetÂ 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

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2 Answers

#### E. Stanley

E. Stanley, Technical writer, Indianapolis

Answered Apr 24, 2019

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
180 (4-2)=360Read More

#### John Smith

John Smith

Answered Jan 11, 2017

Nine

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