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How do I find the x and the y

How do I find the x and the y-example-1

2 Answers

1 vote

Answer:

x =22°

y =35°

Explanation:

3x-11 = 2x+11

then x =22°

and 2y = 180-(55+55)

2y = 70

y = 45°

User Greenhoorn
by
3.5k points
9 votes

Answer:

x = 22

y = 35

Explanation:

Because its an isosceles triangle, you know the base angles are equal so:


3x - 11 = 2x + 11

Solving:

subtract 2x from both sides


x-11=11

add 11 to both sides


x = 22

Next, find the angle measures of the two base angles:


3*22-11\\66-11\\55

To find y, you know that the interior angles of the whole triangle add up to 180, so you have


55 + 55 + 2y = 180

solving,


110 + 2y = 180

subtract 110 from both sides


2y = 70

divide both sides by 2


y = 35

User NFC Guy
by
3.3k points