3 years ago

A

Mathematics

1 answer:

postnew [5]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠A ∠B = 90 ← substitute values

5x - 27 + 4x - 27 = 90, that is

9x - 54 = 90 ( add 54 to both sides )

9x = 144 ( divide both sides by 9 )

x = 16

Hence

∠A = 5x - 27 = (5 × 16) - 27 = 80 - 27 = 53°

∠B = 4x - 27 = (4 × 16) - 27 = 64 - 27 = 37°

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