Answer:
1. x = 15°
2. y = 12
Explanation:
1. Determination of the value of x.
(5x – 5) + 110 = 180 (Adjacent angles add up to 180)
5x – 5 + 110 = 180
5x + 105 = 180
Collect like terms
5x = 180 – 105
5x = 75
Divide both side by 5
x = 75/5
x = 15°
2. Determination of the value of y.
3y – 4 = 2y + 8 (opposite sides are equal)
3y – 4 = 2y + 8
Collect like terms
3y – 2y = 8 + 4
y = 12