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pochemuha
4 years ago
13

Solve for x. Enter your answer in the box. x = °

Mathematics
2 answers:
Alex Ar [27]4 years ago
5 0

Answer:

Measure of the unknown angle x will be = 109°

Step-by-step 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°

liq [111]4 years ago
4 0

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

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