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The sum of the inside angles of a 5 sided figure needs to equal 540 degrees.

Add all the angles together to equal 540 and solve for x. Once you have the value for x you can use that to figure out all the angles.

X-8 + 3x-11 + x + 8 + 2x + 7 + x = 540

Simplify by combing like terms:

8x - 4 = 540

Add 4 to both sides:

8x = 544

Divide both sides by 8:

X = 68

Now replace x with 68 in each angle and solve:

U = 68-8 = 60

V = 3(68)-11 = 204-11 = 193

W = 68 + 8 = 76

Y = 68

Z = 2(68) + 7 = 136 + 7 = 143

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

Sum the interior angles and equate to 540

3x - 11 + x + 8 + x + 2x + 7 + x - 8 = 540 , that is

8x - 4 = 540 ( add 4 to both sides )

8x = 544 ( divide both sides by 8 )

x = 68

Then

∠ U = x - 8 = 68 - 8 = 60°

∠ V = 3x - 11 = 3(68) - 11 = 204 - 11 = 193°

∠ W = x + 8 = 68 + 8 = 76°

∠ Y = x = 68°

∠ Z = 2x + 7 = 2(68) + 7 = 136 + 7 = 143°

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