Question

m∠1 = 137°. find m∠2.
m∠2 =

Explanation:

Step1: Assume linear - pair relationship

If ∠1 and ∠2 are a linear - pair of angles, the sum of their measures is 180°.
$m\angle1 + m\angle2=180^{\circ}$

Step2: Substitute the value of ∠1

Given $m\angle1 = 137^{\circ}$, we substitute it into the equation:
$137^{\circ}+m\angle2 = 180^{\circ}$

Step3: Solve for m∠2

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

Answer:

$43$