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clarch19

Answer:

shape is a Pentagon (has 5 sides)

Sum of interior angles is 540°

x = 90°

m∠B = 90°

m∠E = 100°

Step-by-step explanation:

to find the sum of the interior angles you take the number of sides, deduct two, and multiply by 180

a 5-sided figure would be (n - 2)·180° = 3(180) = 540°

add together all five angle measures and set equal to 540; combine like terms and solve for 'x'

220 + 130 + 130 + x + x + 10 = 540

350 + 2x + 10 = 540

2x + 360 = 540

2x = 180

x = 90

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