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Find the value of x
. Then find the missing angle measures of the polygon.

Find the value of x . Then find the missing angle measures of the polygon.-example-1
User Shengjie
by
7.7k points

2 Answers

2 votes
110 + 2x + 5x = 180
110-110+7x=180-110
7x=70
7x/7= 70/7
x=10
User Fonewiz
by
8.2k points
4 votes

Hi there!

Angles in a triangle sum up to 180°, so:

180° = 110° + 5x° + 2x°

Simplify:

180° = 110° + 7x°

Subtract both sides by 110:

70° = 7x°

Divide both sides by 7:

x = 10°

Plug in to solve for the other angles:

5x = 5(10) = 50°

2x = 2(2) = 20°

User Priboyd
by
7.7k points

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