Question

If transversal intersect two parallel lines interior angles so formed are (2×-5)°and(3×+20)° then find x

Answer 1

Answer: 33°

Step-by-step explanation:

The measure of interior angles is 180°

Angle 1 = (2x-5)°

Angle 2 = (3x+20)°

Therefore (2x-5)° (3x+20)° = 180°

= 2x - 5 + 3x + 20 = 180

= 2x + 3x - 5 +20 =180

= 5x + 15 = 180

= 5x = 180 - 15

= 5x = 165

Therefore x = 165/5

= 33°