Question

Given l || m, find the measure of <1 and <2 in the figure shown alongside.​

Answer 1

Answer:

angle 1 = 44°

angle 2 = 3(44) + 4 = 136°

Step-by-step explanation:

angle 1 + angle 2 = 180° ...(co interior angles between parallel lines) eq. 1

angle 1 = x. ....(vertically opposite angles) eq. 2

angle 2 = 3x + 4 ....(vertically opposite angles) eq. 3

by eq. 1,2 & 3 we get:

(3x + 4) + x = 180

4x + 4 = 180

4(x + 1) = 180

x + 1 = 180/4 = 45

x = 45 - 1

x = 44

putting value of x in eq. 1&2 we get:

angle 1 = 44°

angle 2 = 3(44) + 4 = 136°