Question

In figure, AB parellel to CD parellel to EF, find the angles x and y. 75⁰ and 25⁰​

Answer 1

Step-by-step explanation:

Given: Figure

To find: Angle x and y

Solution:

It is given that AB||CD

$\angle ABC=\angle BCD$;alternate interior angles are equal.

Thus,

$\angle BCD=75°$

But,

$\angle BCD=y+25°$

So,

$75°=y+25°$

y=75°-25°

y=50°

Again,

FE||CD

$\angle FCD \:and\:\angle CFE$;are consecutive interior angles.

Sum of consecutive interior angles is equal to 180°.

Thus,

$\angle FCD+\angle CFE=180°$

$25°+\angle CFE=180°$

So,

$\angle CFE=180°-25°$

$\angle CFE=155°$

Thus,

x=155°

Final answer:

$\bold{\red{x = 155°}}\\ \bold{\green{y = 50°}}$

Hope it helps you.

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