If a transversal intersect two parallel lines such that the ratio betw

1.	If a transversal intersect two parallel lines such that the ratio between the interior angles on one of its side is 3:7,then find the measure of the smaller angle *
Answer» ong>Answer: Given:- AB parallel to CD and T is the transversal. Angles 1 and 2 are TWO angles on the same side of transversal in ration 3:7 Angle 1 : 3x Angle 2 : 7x We know that angle 1 + 2 = 180 DEGREES [angles are supplementry] So, 3x + 7x = 180 10x = 180 x = 18 So, angle 1 = 3x = 3 × 18 = 54 degree angle 2 = 7x = 7 × 18 = 126 degree Therefore, Smaller angle = 54 degree! HOPE it helps you :)

If a transversal intersect two parallel lines such that the ratio between the interior angles on one of its side is 3:7,then find the measure of the smaller angle *

Answer»

ong>Answer:

Given:-

AB parallel to CD and T is the transversal.

Angles 1 and 2 are TWO angles on the same side of transversal in ration 3:7

Angle 1 : 3x

Angle 2 : 7x

We know that angle 1 + 2 = 180 DEGREES

[angles are supplementry]

So, 3x + 7x = 180

10x = 180

x = 18

So, angle 1 = 3x = 3 × 18 = 54 degree

angle 2 = 7x = 7 × 18 = 126 degree

Therefore,

Smaller angle = 54 degree!

HOPE it helps you :)