Respuesta :

Answer :-

Option c,

x = 57° and y=66°

Explanation ;-
Kindly check the attachment below
Ver imagen AnjulaReddy

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°

[tex]x=180-123[/tex]

[tex]\large\boxed{x=57°}[/tex]

Now, we can solve "y"

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

[tex]57+57[/tex]

[tex]114°[/tex]

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

[tex]y=180-114[/tex]

[tex]\large\boxed{y=66°}[/tex]

Therefore, the correct answer is option C