Question

What are the values of x and y?

A- x=56, y=68
B- x=68, y=56
C- x=57, y=66
D- x=66, y=57

Answer 1

Answer :-

Option c,

x = 57° and y=66°

Explanation ;-
Kindly check the attachment below

Answer 2

Given:

• Exterior angle= 123°

To find:

The value of "x" and "y".

Solution:

Let's solve "x" first.

Given is a supplementary angle so it should add up to 180°

$x=180-123$

$\large\boxed{x=57°}$

Now, we can solve "y"

Given is an isosceles triangle so the opposite sides will be equal.

$57+57$

$114°$

Angle sum of triangle is 180° so, it should add up to 180°

$y=180-114$

$\large\boxed{y=66°}$

Therefore, the correct answer is option C