Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the angles are supplementary angles. determine the measures of ∠1 and ∠…

Question

the angles are supplementary angles. determine the measures of ∠1 and ∠2.

m∠1 = □°, and m∠2 = □°

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. Let \(m\angle1=x\) and \(m\angle2 = y\), then \(x + y=180\). But since no other information about the relationship between \(\angle1\) and \(\angle2\) is given, if we assume \(\angle1\) is \(x\) degrees and \(\angle2\) is \(y\) degrees, we have infinite pairs of solutions as long as \(x + y=180\) and \(0

Answer:

Let \(m\angle1=x\), then \(m\angle2 = 180 - x\) (where \(0