Question

If two interior angles on the same side of a transversal intersecting two parallel lines are

in the ratio 2 : 3 ,then the larger angles is​

Answer 1

Answer:

2x+3x=180... interior angles are supplementary

5x=180,

x=180/5

x=36

first angle 2x =2×36=72

second angle 3x=3×36=108

therefore 3x is lager angle

Answer 2

As the interior angles are on the same side, the angles form a linear pair.

ratio = 2 : 3

let the constant ratios be x

2x + 3x = 180°  [ sum of linear pair is 180° ]

5x = 180°

x = 180/5

x = 36°

larger angle = 3x = 3 × 36° = 108°

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