Question

in the given figure AB || CD and r is a transversal if angle 1 and 2 are in ratio 2:3 find the measure of each angle angle 1, 2,3,5,6 , and 8​

If you will answer i will mark you branliest

Answer 1

Step-by-step explanation:

As per diagram AB∣∣CD

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

o

let the unknown angle be x

∠1:∠2=3x:2x

∠1+∠2=180

o

3x+2x=180

o

5x=180

o

x=36

o

=> ∠1=3×36

o

=108

o

=> ∠2=2×36

o

=72

o

We know that vertically opposite angles are equal.

∠1=∠3=108

o

∠2=∠4=71

o

We know that corresponding angles are equal.

∠1=∠5=108

o

∠2=∠6=71

o

∠4=∠8=71

o

∠3=∠7=108

o

∴ ∠1=∠5=∠3=∠7=108

o

and

∠2=∠6=∠4=∠8=71

o

Hope it helps....