Question

in 22. PO 11 RS and 2:1 = 3:2. Find the value of 26. Give reasons for your answer.
16
S
Fig. 22​

Answer 1

Step-by-step explanation:

PQ//RS and there's a line intersting both, its called a transversal on them

Here by this we can say some angles are equal

angle 1 = angle 4 (vertical opposite angle)

angle 2 = angle 3 (vertical opposite angle)

angle 5 = angle 8 (vertical opposite angle)

angle 6 = angle 7 (vertical opposite angle)

and

angle 1= angle 5 = angle4 = angle 8 (alternative angles)

angle 2 = angle 3 = angle 6 = angle 7 (alternative angles)

Here PQ is a straight line on which angle 1 and angle 2 are two angles

now as their ratio is 3:2

we can take angles be 3k and 2k

now sum of angles on line is 180⁰

so

3k+ 2k = 180⁰

k = 36

so angle 1 is 108⁰

angle 2 is 72⁰

as we know from above theory that angle 6 is equal to angle 2

therefore, angle 6 =72⁰

thankyou