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:
[tex]\frac{17x}{17} = \frac{119}{17}[/tex]
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:
[tex]\frac{5y}{5} = \frac{90}{5}[/tex]
y = 18
Hope this helps!
