Question

In figure, AB II CD and CD II EF. Also EA ⊥ AB. If ∠ = °, find the values of , .

Answer 1

Answer:

Hope it helps you

Step-by-step explanation:

Given that y : z = 3 : 7

Let       ∠ y      = 3a

Then   ∠z       = 7a

∠x and ∠z are alternate interior angles of parallel lines so that

∠x = ∠z                      …(1)

Sum of interior angle on the same side of the transversal is always = 180°

So that

x + y = 180°

plug the value of x from equation (1)

z + y = 180°

plug the value of z and y we get

7a + 3a = 180°

10 a    = 180°

a          = 180°/10

a          = 18

y          = 3a    = 3x18            = 54°

z          = 7a    = 7x18            = 126°

x          = z       = 126°

Answer 2

Answer:

it's very easy to solve. Let me help you out.

EF perpendicular to AE.

So, z+55=90.

And, z= 35 degrees

Frame a line BG such that BG perpendicular to AB.

Due to alternate angle, z = angle ABG.

And angle x= 90+ angle ABG.

So, x=125 degrees

Due to corresponding angles, angle x and angle y are very much equal.

So, x=y.

As well as, y=125 degrees

All the answers are extracted out and the problem is solved!!!

Hope it helps you Successfully...

Please mark me the Brainliest...