Question

I need help a problem 11

Answer 1

Answer:

x=5

Step-by-step explanation:

Answer 2

Answer:

x = 68

Step-by-step 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