Question

complete each step to show that

m∠3 + m∠2 = m∠4.

m∠4 + m∠1 = 180°

∠4 and ∠1 are

?

Explanation:

Step1: Recall Triangle Angle Sum

In a triangle, the sum of interior angles is \(180^\circ\), so \(m\angle1 + m\angle2 + m\angle3 = 180^\circ\).

Step2: Use Given Relationship

We know \(m\angle3 + m\angle2 = m\angle4\) (given). Substitute \(m\angle3 + m\angle2\) with \(m\angle4\) in the triangle angle sum: \(m\angle1 + m\angle4 = 180^\circ\).

Step3: Identify Angle Relationship

If the sum of two angles is \(180^\circ\), they are supplementary angles. So \(\angle4\) and \(\angle1\) are supplementary.

Answer:

supplementary (or supplementary angles)