Question

the figure shows three intersecting lines. lines g and h are perpendicular. how are ∠1 and ∠2 related? complete the equation. m∠1 + m∠2 = 90 when the measures of two angles sum to 90°, they are complementary. ∠1 and ∠2 are complementary angles. m∠1 = 55°. what is m∠2? m∠2 =

Explanation:

Step1: Recall angle - relation formula

Since $\angle1$ and $\angle2$ are complementary, $m\angle1 + m\angle2=90^{\circ}$.

Step2: Solve for $m\angle2$

Given $m\angle1 = 55^{\circ}$, then $m\angle2=90 - m\angle1$.
Substitute $m\angle1 = 55^{\circ}$ into the formula: $m\angle2=90 - 55=35^{\circ}$.

Answer:

$35$