Question

In each of the following figures, pll q and t is a transversal. Find the value of x, y and z.​

Answer 1

Answer:

as x and 120° are forming vertically opposite angle

therefore,x=120

Answer 2

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We know that,

• p and q are parallel.
• t is a transversal.

We have to find,

• x and y and z.

We know that,

Corresponding angles are same.

Now,

120° corresponds to y

Hence,

y = 120°

y and z are exterior angles.

And we know that,

Sum of exterior angles is 180°.

Hence,

=> y + z = 180°

=> 120° + z = 180°

=> z = 180° - 120°

z = 60°

x and y are alternate exterior angle

And,

Alternate exterior angles are congruent.

Hence,

x = 120°

Answer :

• x = 120°
• y = 120°
• z = 60°

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