Question

In the figure line a || line b and line p || line q. find the measure of ∠u.​

Answer 1

Answer:

∠u = 80°

Step-by-step explanation:

Given:-

a ║ b

p ║ q

To find:-

The measure of ∠u.

Solution:-

∠x+ 100°= 180° (Corresponding angles are supplementary)

∠x= 180°-100°

∠x= 80°

∠x= ∠y (Vertically opposite angles)

∠x = ∠z (Corresponding angles are equal and supplementary)

∠z = ∠u = 80° (Corresponding angles are equal and supplementary)

∴ ∠u = 80°