Question

Find the value of angle a in the following figure

Answer 1

m and n are parallel lines l is the transversal

Exterior angles that lie on the same side of the transversal are supplementary

∴ (4a + 13) + 135° = 180°

4a + 13 + 135° = 180°

4a + 148° = 180°

4a + 148° – 148° = 180° – 148°

4a = 32°

a = `(32^circ)/4`

a = 8°