Question

the figure shows two intersecting lines. write an equation to show how m∠1 and m∠2 are related. m∠1 + m∠2 = 180°. when the measures of two angles sum to 180° they are supplementary. ∠1 and ∠2 are supplementary angles. m∠1 = 137°. find m∠2. m∠2 =

Explanation:

Step1: Recall angle - relation formula

$m\angle1 + m\angle2=180^{\circ}$

Step2: Substitute given value

Given $m\angle1 = 137^{\circ}$, so $137^{\circ}+m\angle2 = 180^{\circ}$

Step3: Solve for $m\angle2$

$m\angle2=180^{\circ}- 137^{\circ}=43^{\circ}$

Answer:

$43^{\circ}$