∠1 and ∠2 are complementary angles.

m∠1=52°

what is the measure of ∠2 ?

∠2 = 38°

Step-by-step explanation:

We know that two angles are complementary angles if the sum of the angle is 90 degrees.

Since, we have been given that ∠1 and ∠2 are complementary angles. Hence, we have

∠1 +∠2 =    90°

Given that m∠1=52°

52°+∠2 =    90°

Subtract 52 to both sides

∠2 = 90°-52°

∠2 = 38°

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step-by-step explanation: