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 angles relationship

Since \(m\angle1 + m\angle2=180^{\circ}\) (supplementary angles).

Step2: Solve for \(m\angle2\)

Given \(m\angle1 = 137^{\circ}\), substitute into the equation: \(m\angle2=180^{\circ}-m\angle1\).
So \(m\angle2 = 180^{\circ}- 137^{\circ}\).
\(m\angle2=43^{\circ}\)

Answer:

\(43\)