Question

when lines intersect, they form congruent angles and supplementary angles. the measure of ∠1 is 130°. what is the measure of ∠2? m∠2=?

Explanation:

Step1: Use the property of supplementary angles

When two lines intersect, adjacent angles are supplementary. That is, the sum of adjacent angles is \(180^{\circ}\). Here, \(\angle1\) and \(\angle2\) are adjacent angles formed by the intersection of two lines. So, \(m\angle1 + m\angle2=180^{\circ}\).

Step2: Solve for \(m\angle2\)

Given \(m\angle1 = 130^{\circ}\), substitute into the equation \(m\angle1 + m\angle2=180^{\circ}\). Then \(m\angle2=180^{\circ}-m\angle1\).

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Answer:

\(50\)