Question

if two interior angles on the same side of a transversal intersecting two parallel lines in the ratio 2:3 what is the smaller angle ?(a:b=2:3)​

Answer 1

Answer:

logicaly angle a i...but it doesnt seens according to the figure..

Step-by-step explanation:

∠a+∠b=180     because co interior angles

taking  X as common multiple of a and b

2x+3x=180   ratio is given

5x=180

x=180/5

x=36

therefore ∠a=  2 × 36=72

              ∠b= 3× 36=108     therefore angle a is smaller

Answer 2

Answer:

72° which is <a

Step-by-step explanation:

1) 2+3 =5 ,such that

(2/5)×180° and (3/5)×180°

2) so by solving we got ,,

α =(2/5)×180 | b= (3/5)×180°

α=2×36 | b=3×36

α =72° | b=108°

so 72°<108°

therefore 72°i.e, a is the smaller angle .

I Hope this will help!!