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Answer :

Answer:

∠ 1 = 53°, ∠ 2 = 37°

Step-by-step explanation:

let ∠ 2 be x then ∠ 1 = x + 16

Complementary angles sum to 90° , then

x + 16 + x = 90

2x + 16 = 90 ( subtract 16 from both sides )

2x = 74 ( divide both sides by 2 )

x = 37

Then

∠ 2 = 37° and ∠ 1 = 37 + 16 = 53°