Question

31,162 Learners found this answer helpful

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 \(m\angle1 + m\angle2=180^{\circ}\) and \(m\angle1 = 137^{\circ}\).

Step2: Solve for \(m\angle2\)

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

Answer:

\(43\)