Question

please explain and solve this AB is parallel to CD find x y and z​

Answer 1

Answer:

Step-by-step explanation:

FIRST FINDING X

Its given that AB is parallel to CD so angle APQ = angle PQR ( alternate interior angles) so x = 60*

NOW ANGLE Z

Similarly angle Z = angle PRQ (alternate interior angles)

And angle PRQ = 180-110 (linear pair)

so, angle PRQ = 70* = angle Z

FINALLY ANGLE Y

Now, by linear pair identity we say,

APQ+QPR+RPB=180*

so,

60*+angle Y+70*=180*

angle Y + 130*=180*

angle Y = 180* -130*

Y = 50*

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