Question

I will give the BRAINIEST Find the values of x and y in the diagram below

Answer 1

:=4  Y=3

-Lanaya- AT your help- Happy to help!

Answer 2

Answer:

y = 18

x = 7

Step-by-step explanation:

Because the angle with the size of 11x - 9 is along a straight line, the opposite angle is also the same. This means that we have a complete equation for the second triangle:

6x - 2 + 72 + 11x - 9 = 180

72 - 2 - 9 + 6x + 11x = 180

61 + 17x = 180

Now, to solve x we need to subtract 61 from both sides to isolate the 17x:

61 + 17x - 61 = 180 - 61

17x = 119

Divide both sides by 17:

$\frac{17x}{17} = \frac{119}{17}$

x = 7

Now we have the x variable to put into the second triangle equation.

We also have the total angles for the other triangle:

30 + 11x - 9 + 5y - 8

30 - 9 - 8 + 11x + 5y

13 + 11x + 5y = 180

Substitute in the x variable:

13 + 11(7) + 5y = 180

13 + 77 + 5y = 180

90 + 5y = 180

Subtract 90 from both sides of the equation:

90 + 5y - 90= 180 - 90

5y = 90

Divide both sides by 5:

$\frac{5y}{5} = \frac{90}{5}$

y = 18

Hope this helps!