Question

i. If a transversal intersects two parallel lines such that the ratio between the interior angles
on one of its side is 2: 7, then find the measure of the greater angle.​

Answer 1

Step-by-step explanation:

Let the measure of smaller angle be 2x and greater angle be 7x

we know,

2x + 7x = 180° (interior angles on the same side of a transversal are supplementary)

9x = 180°

x= 180°/9

x=20°

therefore, measure of greater angle:

7x = 7×20° = 140°