Question

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the measure of the larger angle is
A. 54°
B. 120°
C. 108°
D. 136°

Answer 1

Answer:

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Step-by-step explanation:

We know that if two interior angles on the same side of a transversal intersects two parallel line

then their sum is 180

therefore

let angle is equal to 2x , 3x

then

2x+3x=180

5x=180

x=36

larger angle =3*36=108degree

Answer 2

measure of the larger angle is 108°

Step-by-step explanation:

two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3

Let say one angle = 2a

then second angle would be 3a

sum of interior angles on same side of transversal intersecting two parallel line is 180°

=> 2a + 3a = 180°

=> 5a = 180°

=> a = 36°

2a = 2 * 36° = 72°

3a = 3 * 36° = 108°

108° > 72°

measure of the larger angle is 108°

option C is correct

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