Question

Heya users! Pls solve the question in the attachment.

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No useless answers❌
Useless answer will be deleted on the spot.

Thank you.

Answer 1

Refer to the above attachment :)

And they are alternate because it is given that AB is parallel to CD .

Hope it helps you Yuki !! ☺☺

BE BRAINLY!!

Answer 2

Given that :-

AB is Parallel to CD

This means that all the alternate angles will be equal.

Sum of co-interior angles will be equal to 180 degrees

Corresponding angles will be equal

So,

Coming back to question :-

To find :- Angle x, Angle y and Angle z

Now,

Solution :-

Angle BAD = Angle ADC

(AB || CD ; Alternate interior angles)

So,

Given that Angle BAD is equal to 75°

So, Angle ADC or Angle z = 75 degrees.

Similarly,

Angle ABC = Angle BCD

(AB || CD ; Alternate interior angles)

So,

Angle ABC or Angle x = 35°

Now,

In TRIANGLE COD :-

Angle y + Angle z + Angle OCD = 180 degrees

(Angle Sum Property)

So,

Angle y = 180 - z - OCD

or,

Angle y = 180 - 75 - 35 = 180 - 110

Or,

Angle y = 70 degrees.

So,

Angle x = 35 degrees

Angle y = 70 degrees

Angle z = 75 degrees

Thanks!