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iren [92.7K]
2 years ago
7

What are the values of x and y?

Mathematics
2 answers:
sveticcg [70]2 years ago
5 0
Answer :-

Option c,

x = 57° and y=66°

Explanation ;-
Kindly check the attachment below

lorasvet [3.4K]2 years ago
4 0
<h3>Given:</h3>
  • Exterior angle= 123°
<h3>To find:</h3>

The value of "x" and "y".

<h3>Solution:</h3>

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°}

<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>correct</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>option</u><u> </u><u>C</u>

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