Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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 :

AnjulaReddy
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

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.