Question

line m is parllel to n and i is a transversal angle 1 and 2 are in the ratio of 3:2 then find all the angles marked in the figure​

Answer 1

Step-by-step explanation:

As per diagram AB∣∣CD

and we know that sum of angles in a straight line is 180o

let the unknown angle be x

∠1:∠2=3x:2x

∠1+∠2=180o

3x+2x=180o

5x=180o

x=36o

=> ∠1=3×36o=108o

=> ∠2=2×36o=72o

We know that vertically opposite angles are equal.

∠1=∠3=108o

∠2=∠4=71o

We know that corresponding angles are equal.

∠1=∠5=108o

∠2=∠6=71o

∠4=∠8=71o

∠3=∠7=108o

∴  ∠1=∠5=∠3=∠7=108o and

∠2=∠6=∠4=∠8=71o

I hope u will understand...