Question

Find x and y. Picture is shown.

Answer 1

Alright, we have two variables, x and y, and we have two equations. So let's set up the system:

65+11+11+y+x=180
y+3x+x=180

You can solve it now, right?

Answer 2

I have an answer, but I don't even know if it's correct.

Answer 3

From the inner triangle, 3x + y + x = 180 because the sum of the interior angles of a triangle is 180.

The angles of the outer triangle are (11 + y ) and 65 and (11 + x).

(11 + y ) + 65 + (11 + x) = 180.

Answer 4

We have two equations to solve simultaneously.

(1) 3x + y + x = 180

(2) (11 + y ) + 65 + (11 + x) = 180

Answer 5

(1) 4x + y = 180

(2) x + y + 87 = 180
(2) x + y = 93

Answer 6

equation (1) 4x + y = 180. In place of y, we will substitute the value of y from equation (2).

(2) x + y = 93 so
y = 93 - x

Answer 7

4x + y = 180

4x + ( 93 - x ) = 180

4x + 93 - x = 180

3x = 180 - 93

3x = 87

x = 29
y = 93 - x = 93 - 29 = 64