Question

In the adjoining figure line p parralel line q line t and line s are transversal find measure of angle x and angle y using the measures of the angles given in the figure?​

Answer 1

Answer given above.

Kindly check.

Hope it helps ☺

Answer 2

Answer:

x = 140° and y = 110°

Step-by-step explanation:

Given:- Line P || Line Q, T and S are transversals

To find:- x and y

Proof:-

Let the angle opposite to 70° be w and the linear pair of x be z

We know that,

w = 70° (Vertically Opposite Angles)

Thus,

w + y = 180° (Alternate Interior angles of the transversal s)

so, y = 180 - w = 180 - 70 = 110°

Now,

z = 40° (Corresponding angles of the transversal t)

thus,

x + z = 180° (Linear Pair on a straight line t or transversal t)

x = 180° - z = 180 - 40 = 140°

Hence,

x = 140° and y = 110°

Hope you understood it........All the best