Question

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

Explanation:

Step1: Identify angle - relationship

The two angles ∠1 and ∠2 are complementary (since they form a right - angle).

Step2: Use the complementary - angle formula

If two angles are complementary, the sum of their measures is 90°. Let \(m\angle1 = 69^{\circ}\) and \(m\angle2=x\). Then \(m\angle1 + m\angle2=90^{\circ}\), so \(x = 90^{\circ}-m\angle1\).

Step3: Calculate \(m\angle2\)

Substitute \(m\angle1 = 69^{\circ}\) into the formula: \(m\angle2=90^{\circ}-69^{\circ}=21^{\circ}\).

Answer:

\(21\)