• Given: Line p || line q, line t and line s are transversals.

• To find: The measure of x and y. Here we can see

KLD=HLD ( Opposite angles are equal)

KLD=70°

KLI+JIL=180° ( ( Property of interior angles.)

70+Y=180°

Y=110°

The value of y is 110°

Also,

BKL+ JKL =180° (Linear pair)

x+JKL = 180°

JKL= 180-x…(1)

KJI+ AJI =180° (Linear pair)

40+KJI = 180°

KJI= 140°…(2)

Now,

KJI+JKL=180° ( Property of interior angles.)

140+180-x=180 (From 1 and 2)

-x=180-180-140

-x=-140°

x=140°

The value of x is 140°.

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