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3 years ago

ZA and ZB are complementary angles. If mZA = (2x + 10)° and m

Mathematics

1 answer:

fiasKO [112]3 years ago

3 0

Answer:

∠ZB = 54°

Step-by-step explanation:

Given:

Pair of complementary angles

∠ZA = (2x + 10)° and m

∠ZB = (3x + 15)

Find:

Measure of ∠ZB

Computation:

complementary angles

a + b = 90°

∠ZA + ∠ZB = 90°

(2x + 10) + (3x + 15) = 90

5x + 25 = 90

x = 13

So,

∠ZB = (3x + 15)

∠ZB = 13(3) + 15

∠ZB = 54°

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