Question

the figure shows two intersecting lines.
write an equation to show how ( mangle1 ) and ( mangle2 ) are related.
( mangle1 + mangle2 = 180^{circ} )
when the measures of two angles sum to ( 180^{circ} ) they are supplementary. ( angle1 ) and ( angle2 ) are supplementary angles.
( mangle1 = 137^{circ} ). find ( mangle2 ).
( mangle2=)

Explanation:

Step1: Use the supplementary angle relationship

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

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

Since \(m\angle1 = 137^{\circ}\), then \(137^{\circ}+m\angle2 = 180^{\circ}\).

Step3: Solve for \(m\angle2\)

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

Answer:

\(43\)