Question

To the adjacent figure Ab parallel cd-find the value of x,y andz
please answer this question with diagrams​

Answer 1

Answer:

YOUR ANSWER<<<

angle CPQ = angle PQR = 80° ( because CD parellel to AB and alternate interior angles are equal)

so , 80° + 2x + 3x = 180° [ straight angle]

5x = 180° - 100°

5x = 80°

x = 80/5 = 16°

Now , angle DPR = angle PRQ [ 3x = y] ( because CD parellel to AB and alternate interior angles are equal)

3(16) = y

y = 48°

Now, y° + z° = 180° [ linear pair]

48° + z° = 180°

z° = 180° - 48°

z° = 132°

Therefore , x = 16° , y = 48° , z = 132°

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