Question

Find the values for x and y.

Answer 1

Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90
$180 - 90$
to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90
$90 \div 5 = 18$
and we get 18 which is X.
$x = 18$
Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.
$5(y + 11) + 4y - 10 = 180$
First, distribute 5(y + 11)
$5 \times y \\ 5 \times 11$
Then you get this equation :
$5y + 55 + 4y - 10 = 180$
Now, add the two equations together
$5y + 55 + 4y - 10$
and you get this equation

$9y + 45 = 180$
Now subtract 45 from both sides
$9y + 45 - 45 = 180 - 45$
and divide by 9 on both sides
$9y \div 9 = 135 \div 9$
and you get your answer
$y = 15$

So
$x = 18$
and
$y = 15$