Question

Solve for x.



Enter your answer in the box.

x =
°

Answer 1

As we can notice the shape is a Pentagon. A Pentagon's angles should add up to 540. So we can use simple addition and subtraction to solve.

121 + 108 + 102 + 100 = 431

540 - 431 = 109

109 should be your answer

Answer 2

Measure of the unknown angle x will be = 109°

Explanation:

Sum of all interior angles with n sides of a polygon is given by (n - 2)× 180°

Now in the picture attached, polygon has the number of sides = 5

By placing the value of n = 5 in the expression

(5 - 2)×180° = x + 121 + 108 + 102 + 100

3 × 180 = x + 431

540 = x + 431

x = 540 - 431

x = 109°

Therefore, measure of the unknown angle x will be = 109°