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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- x=56, y=68 B- x=68, y=56 C- x=57, y=66 D- x=66, y-example-1
User Ampatspell
by
7.7k points

2 Answers

3 votes
Answer :-

Option c,

x = 57° and y=66°

Explanation ;-
Kindly check the attachment below
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-example-1
User Amir Syafrudin
by
8.1k points
10 votes

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

User Gustavo Siqueira
by
8.9k points

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