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Black_prince [1.1K]
3 years ago
9

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

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
7 0

Given any polygon with n sides, the sum of its interior angles is

(n-2)\times 180^\circ

Your polygon has 5 sides, so its interior angles sum up to

(5-2)\times 180^\circ = 3\times 180^\circ = 540^\circ

Which means that

100+102+108+121+x = 540 \iff 431+x = 540 \iff x = 540 - 431 = 109

Reika [66]3 years ago
6 0

x = 109°

3*180° - 100° - 102° - 108° - 121° = 109°

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