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I need help a problem 11

I need help a problem 11-example-1
User Shadoath
by
8.0k points

2 Answers

2 votes

Answer:

x=5

Explanation:

User Mikeesouth
by
7.0k points
14 votes

Answer:

x = 68

Explanation:

The formula for calculating the sum of interior angles of a polygon is: (n - 2) x 180° (where n is the number of sides)

This polygon has 5 sides, so the sum of the interior angles:

(5 - 2) x 180° = 540°

To find x, add together all the angle expressions, equate to 540 and solve for x:

U + V + W + Y + Z = 540

(x - 8) + (3x - 11) + (x + 8) + x + (2x + 7) = 540

Gather like terms: x + 3x + x + x + 2x - 8 - 11 + 8 + 7 = 540

Combine like terms: 8x -4 = 540

Add 4 to both sides: 8x = 544

Divide both sides by 8: x = 68

User Halil
by
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