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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

What Are The Values Of X And Y A X56 Y68 B X68 Y56 C X57 Y66 D X66 Y57 class=

Sagot :

AnjulaReddyidn
Answer :-

Option c,

x = 57° and y=66°

Explanation ;-
Kindly check the attachment below
View image 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

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