Question

. If two interior angles on the same side of a transversal intersecting two parallel lines are in ratio 1 :4 then, what is the measure of the larger angle?

Answer 1

sum of two interior angles on the same side of a transversal intersecting two parallel lines is 180°

let the two angles be 'x' and '4x'

x + 4x = 180°

5x = 180°

x = $\frac{180}{5}$ = 36°

4x = 4 × 36 = 144°