Question

If two interior angles on the same side of a transversal intersecting two parallel lines are in ratio 2:3 , then the measure of larger angle is ____?
Answer with explaination only ...

Answer 1

Answer:

108°

Step-by-step explanation:

let the measure of whole angle be 180° according to the linear pair .

now ,

given ,

angles in ratio = 2:3 .

angles are = 2x & 3x

according to the question :-

2x +3x = 180°

5x = 180°

X= 180°/5

X = 36°

angles are :-

2x = (2 × 36 )° = 72°

3x = (3 × 36)° = 108°

THE MEASURE OF LARGER ANGLE IS 108° .

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Answer 2

Answer:

If both angles are on the same side of the transversal , they are a linear pair .

Ratio = 2 : 3

2x + 3x = 180

5x = 180

x = 36

the larger angle here is 3x hence ,

3x = 36×3

    = 108

Hence , the measure of the larger angle is 108°

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