Question

if ∠1 and ∠2 are complementary angles and m∠1 = 52 degrees, then the m∠2 = type your answer - degrees.

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90 degrees. Let \(m\angle1\) and \(m\angle2\) be the two complementary angles. So \(m\angle1 + m\angle2=90^{\circ}\).

Step2: Substitute the given value of \(m\angle1\)

Given \(m\angle1 = 52^{\circ}\), then \(52^{\circ}+m\angle2 = 90^{\circ}\).

Step3: Solve for \(m\angle2\)

\(m\angle2=90^{\circ}- 52^{\circ}\).
\(m\angle2 = 38^{\circ}\)

Answer:

38