Question

Find the value of x for which r || s. Then find m∠1 and in∠2.

m∠1=75-2x
mZ291-3x

The value of x for which r || s is
mt=1
m<2=□

Answer 1

Since r and s are parallel lines, angle 1 = angle 2 (corresponding angles)

75 - 2x = 91 - 3x

x = 16

Angle 1 = 75 - 2(16) = 43°

Angle 2 = Angle 1 = 43°