Question

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 = \boxed{}°

Explanation:

Step1: Use the supplementary angles equation

Given \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Substitute the value of \(m\angle1\)

We know \(m\angle1 = 137^{\circ}\), so \(137^{\circ}+m\angle2 = 180^{\circ}\).

Step3: Solve for \(m\angle2\)

Subtract \(137^{\circ}\) from both sides: \(m\angle2=180^{\circ}- 137^{\circ}\).
\(m\angle2 = 43^{\circ}\)

Answer:

\(43\)