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3 years ago

Find angle A and angle E

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

8 0

Answer:

m∠A = 50°

m∠E = 50°

Step-by-step explanation:

7x - 17 and 2x + 8 are same side exterior angles. They have a sum of 180°.

7x - 17 + 2x + 8 = 180

9x - 9 = 180

9x = 189

x = 21

∠A and 7x - 17 are supplementary. ∠E and 2x + 8 are vertical angles.

m∠A + 7x - 17 = 180

m∠A + 7(21) - 17 = 180

m∠A + 147 - 17 = 180

m∠A + 130 = 180

m∠A = 50

m∠E = 2x + 8

m∠E = 2(21) + 8

m∠E = 42 + 8

m∠E = 50

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