Question

In the diagram shown, /Il m, m

1 = 3x + 25 and m_8 = 4x - 17.
Find the measure of 2.
29
49°
131°
151

Answer 1

29°

Explanation:

Angles 1 and 8 are alternate exterior angles where a transversal crosses parallel lines, so are congruent.

m∠1 = m∠8

3x+25 = 4x-17

42 = m . . . . . . . . add 17-3x

Then the measure of ∠1 is 3·42 +25 = 151 (degrees), and the measure of its supplement, ∠2 is ...

m∠2 = 180° -151° = 29°