Question

Find the value of angle x in the following figure

Answer 1

m and n are parallel lines. l is the transversal

Exterior angles on the same side of the transversal are supplementary

∴ (2x − 15) + (3x + 20) = 180°

2x − 15 + 3x + 20 = 180°

5x + 5 = 180°

5x + 5 − 5 = 180° − 5

5x = 175°

x = `(175^circ)/5`

= 35°

x = 35°