Answer :

• 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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