Question

If the transversal intersects two parallel lines such that the ratio the interior angles on one of its side is 2:7 then What is the measure the greater angle?

Answer 1

Step-by-step explanation:

the sum of interior angles on same side = 180°

ratio of two interior angle on the same side = 2:7

let us take 2:7 = 2x and 7x

so 2x + 7x = 180

9x = 180

x = 180 /9 = 20°

greater angle = 7x

= 7 × 20

= 140°