Question

in the figure below, m∠2 = 60°. find m∠1.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are complementary.

Step2: Use complementary - angle formula

Complementary angles sum to 90°. Let $m\angle1=x$ and $m\angle2 = 60^{\circ}$. Then $x+60^{\circ}=90^{\circ}$.

Step3: Solve for $m\angle1$

$x=90^{\circ}- 60^{\circ}$

Answer:

$30^{\circ}$