Question

Lots of points and brainliest answer for the first correct answer.

Find x, y and Z in the given figure.
Show your work.

Answer 1

Hi ,

1 ) 2y + 8 + 142 = 180° [ linear pair ]

2y + 150 = 180

2y = 180 - 150

2y = 30


y = 30/2

y = 15 ---- ( 1 )

2 )( 4x + 6 ) + ( 2y + 8 ) = 180

[ since sum of interior angles lie same

side of the transversal ]

4x + 6 + 2 × 15 + 8 = 180

[ from ( 1 ) , y = 15 ]

4x + 6 + 30 + 8 = 180

4x + 44 = 180

divide each term with 4 , we get

x + 11 = 45

x = 45 - 11

x = 34 ----( 2 )

3 ) z = 142°

[ since exterior alternate angles are equal ]

I hope this helps you.

:)

Answer 2

HI!!

HERE IZ UR ANSWER.

2y + 8 + 142 = 180 (sum of linear pair is 180)

So, 2y = 180-150 = 30
      y = 30/2 = 15 --------- (1)

Also,
4x + 6 + 2y + 8 = 180 (sum  interior angles on same side of transversal)

from eqn 1,
y = 15

So,
4x + 6 + 2 * 15 + 8 = 180
4x + 44 = 180
x = 34

And, 

z = 142, because of alternate exterior angles.

HOPE IT HELPS!!