The values of x and y are
1. x = 7 , y = 18
2. x = 15. y = 6
1. The sum of angles in a triangle is 180°.
Therefore;
11x - 9 + 6x -2 + 72 = 180
17x +61 = 180
17x = 180 - 61
17x = 119
x = 119/17
x = 7
11x - 9
= 77 - 9
= 68°
therefore in the second triangle
68 + 30+5y - 8 = 180
5y - 8 = 180 - 98
5y - 8 = 82
5y = 90
y = 18
2. Using exterior angle theorem
9x + 4 = 86+ 4x -7
5x = 79 -4
5x = 75
x = 15
4x - 7 = 60-7 = 53
7y - 1 = 180 -( 53 + 86)
7y - 1 = 180 - 139
7y - 1 = 41
7y = 42
y = 6