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 Angle Relationship

Adjacent angles forming a linear pair are supplementary (sum to \(180^\circ\)).
\(\angle 4\) and \(\angle 1\) form a linear pair (they are adjacent and form a straight line), so \(m\angle 4 + m\angle 1 = 180^\circ\) because they are supplementary (or form a linear pair).

Step2: Confirm the Reason

The reason \(m\angle 4 + m\angle 1 = 180^\circ\) is that \(\angle 4\) and \(\angle 1\) are supplementary angles (or form a linear pair, as linear pairs are supplementary).

Answer:

supplementary angles (or a linear pair)