Question

Find the values of x and y

Answer 1

d

Explanation:

Answer 2

x=5, y=52

Explanation:

Hi there!

1) Determine y

Because length AB is equal to length BC (making this an isosceles triangle), angle y is equal to 52 degrees.

y = 52

2) Determine x

The sum of the interior angles of a triangle will always be 180 degrees. Knowing this, we can construct the following equation and solve for x:

`180=52+52+(14x+6)`

Open up the parentheses

`180=52+52+14x+6\\180=104+14x+6\\180=110+14x`

Subtract 110 from both sides to isolate 14x

`180-110=110+14x-110\\70=14x`

Divide both sides by 14 to isolate x

`(70)/(14) =(14x)/(14) \\5=x`

Therefore, the value of x is 5.

I hope this helps!