Answer:
x = 15 , y = 21
Explanation:
the sum of the 3 angles in a triangle is 180°
the third angle in the triangle on the right is vertically opposite 6x - 11 and are congruent.
sum the 3 angles in the triangle on the right and equate to 180 , that is
81 + x + 5 + 6x - 11 = 180
7x + 75 = 180 ( subtract 75 from both sides )
7x = 105 ( divide both sides by 7 )
x = 15
then
6x - 11 = 6(15) - 11 = 90 - 11 = 79
Sum the 3 angles in the triangle on the left and equate to 180, that is
4y - 18 + 79 + y + 14 = 180
5y + 75 = 180 ( subtract 75 from both sides )
5y = 105 ( divide both sides by 5 )
y = 21