Question

Find the value of each variable in the diagram given that a ∥ b.

Answer 1

The values are as follows:

z=50

v= 150

x= 100

y=15

w= 50

What is parallel lines?

Parallel lines are lines in a plane that are always the same distance apart.

z+130= 180   (Linear pair)

z=50

v+ 30 = 180  (Linear pair)

v= 150

x= 180- 30 - 50  (angle sum property)

x= 100

2y=30   (alternate interior angle)

y=15

w+x+2y=180  (Linear pair)

w+ 100 + 30 = 180

w= 50

Learn more parallel lines here:

brainly.com/question/16701300

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