The values of y and z is determined as 13 and 14 respectively.
How to calculate the value of y and z?
The values of y and z is calculated by applying the following principle for sum of interior and exterior angles.
The sum of opposite interior angles is equal to the exterior angle.
5y + 5 + (180 - 135) = 9y - 2
5y + 5 + 45 = 9y - 2
5y + 50 = 9y - 2
5y - 9y = - 2 - 50
- 4y = - 52
y = 52 / 4
y = 13
5y + 5 + (180 - 135) + 4z + 9 = 180 (sum of angles in a triangle)
5y + 5 + 45 + 4z + 9 = 180
5(13) + 59 + 4z = 180
124 + 4z = 180
4z = 180 - 124
4z = 56
z = 56 / 4
z = 14