Question

If the ratio of the measure of the interior angle on the same side of the transserval is 5 : 4 , then the measure of the smaller angle is ?​

Answer 1

Answer:

Measure of smaller angle = 80°

Step-by-step explanation:

As the angles are on same side of the transversal, i.e co interiors, there sum will be 180°

Ratio given =  5:4

⇒ 5 x + 4 x = 180°

⇒ 9 x = 180°

⇒ x = 180°÷9 = 20°

So the measure of the angles will be (5*20) = 100° and (4*20) = 80°

Smaller angle = 80°

There you go! Hope it helps!

Thank you.