Question

Applying Angle Relationships.
Please help me quick

Answer 1

Explanation:

1) a) 15x = 12x + 15 {Alternate interior angles}

b) 15x - 12x = 15 {Subtract 12x from both sides}

3x = 15

x = 15/3

x = 5

c) Alternate interior angles

2) a) 3x + 10 + 3x - 28 = 180 {co- interior angles are supplementary}

b) 6x - 18 = 180 { Combine like terms}

6x = 180 + 18

6x = 198

x = 198/6

x = 33

c) co- interior angles are supplementary

3) a) 7x + 9 + 5x +3 = 180

b) 12x + 12 = 180

12x = 180 - 12

12x = 168

x = 168/12

x = 14

c) linear pair

4) a) 12x - 18 = 8x + 10

b) 12x - 8x - 18 = 10

4x - 18 = 10

4x = 10 +18

4x = 28

x = 28/4

x = 7

c) Vertically opposite angles are equal.