Question

In figure 7a and 7b AB ll CD. Determine The value of x, y and z.

Please answer fast. Its urgent.
Whoever will give the correct answer, I'll mark Brainliest.​

Answer 1

Answer:

In 7A x = 70°

y = 30°

z = 80°

In 7B x = 80°

y = 60°

z = 40°

Step-by-step explanation:

Lets first solve 7A

AB || CD

So x = 70° ( Alternate interior angles )

similarly z = angle PRQ

Now using property of linear pair

z + 100° = 180°

z = 80°

Now angle x + y +z = 180

70° + y + 80° = 180

so y = 30°

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Now lets solve 7B

AB || CD

So, x = 80° ( Alternate interior angles )

similarly z = 40° ( Alternate interior angles )

Now angle 80° + y + 40° = 180

y = 60°

______________________________________

Answer 2

Answer:

7(A)

Given :- AB||CD

Now,

x = 70° ( Alternate interior angle)

APR = 100°

APR = APQ + angle y

APQ + y = 100°

70 + y = 100

y = 100 - 70

y = 30°

Now,

z + PRD = 180° (some safe of interior angle )

z + 100 = 180°

z = 180 - 100

z = 80°

7(B)

Given:- AB||CD

Now,

x = 80° ( Alternate interior angle)

z = 40°

So,

80 + y + 40 = 180°

y = 80 + 40 = 180°

y = 180 - 120

y = 60°