Question

17. in the diagram below, two parallel lines are cut by a transversal ​

Answer 1

Explanation:

3y + 5 + 5y +15 = 180° {Sum of co-interior angles}

Add the like terms

8y + 20 = 180

Subtract 20 form both sides

8y + 20 - 20 = 180 - 20

8y = 160

Divide both sides by 8

8y/8 = 160/8

y = 20

2x +5 = 3y + 5 {corresponding angles are equal}

Plugin the value of y

2x +5 = 3*20 + 5

2x + 5 = 60 + 5

2x + 5 = 65

Subtract 5 form both sides

2x + 5 -5 = 65 - 5

2x = 60

Divide both sides by 2

2x/2 = 60/2

x = 30