Question

In Figure 4, pl|q and 1 is a transversal such that angle1=135°.find the measures of angle 2,angle3,angle4,angle 5,angle 6, angle 7and angle 8​

Answer 1

Answer:

angle 1 = 135

∴ Angle 3 = 135 (Vertically Opposite angles)

Angle 1 + angle 2 = 180 (Linear pair)

135 +angle 2 =180

angle 2 = 180-135

angle 2 = 45

∴ angle 2 = angle 4 = 45 (Vertically Opposite angles)

Angle 2 = angle 6 = 45 (Corresponding angles)

angle 6 = angle 8 = 45 (Vertically Opposite angles)

angle 1 = angle 5 = 135 (Corresponding angles)

angle 5 = angle 7 = 135 (Vertically Opposite angles)

Hope I could help you. If you have any doubt, please leave a comment.