Question

1. is ∠1 is a complement of ∠2 and the measure of ∠1 = 43°, what is the measure of ∠2?

a. 43°
b. 137°
c. 90°
d. 47°

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles sum to \(90^{\circ}\). So, \(\angle1+\angle2 = 90^{\circ}\).

Step2: Solve for \(\angle2\)

Given \(\angle1 = 43^{\circ}\), then \(\angle2=90^{\circ}-\angle1\). Substitute \(\angle1 = 43^{\circ}\) into the formula: \(\angle2=90^{\circ}- 43^{\circ}\).

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Answer:

D. \(47^{\circ}\)