Question

Find the value of each variable in the parallelogram

Answer 1

Answer:

1. x = 15°

2. y = 12

Step-by-step 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