Question

in the figure below, m∠1 = 69°. find m∠2.

Explanation:

Step1: Recall angle - sum property

The two angles ∠1 and ∠2 are complementary (since they form a right - angle). The sum of complementary angles is 90°.

Step2: Set up the equation

Let \(m\angle1 = 69^{\circ}\) and \(m\angle2=x\). Then \(m\angle1 + m\angle2=90^{\circ}\), so \(69^{\circ}+x = 90^{\circ}\).

Step3: Solve for \(x\)

\(x=90^{\circ}- 69^{\circ}\).
\(x = 21^{\circ}\)

Answer:

\(m\angle2 = 21^{\circ}\)