Question

if Op stands on the line AB such that angle AOP : angle BOP =5:4
show that. angle AOP - angle BOP = 1/9 angle AOB


plz.. solve this immediately
right answer will be mark brainiliest

15 points question hai


or last me vo misprint hai last me B likha hai R nhi
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Answer 1

Step-by-step explanation:

Let angle AOP = 5 x

Let angle BOP = 4 x

Now ,

Angle AOP + Angle BOP = 180

5 x + 4 x = 180

9 x = 180

x = 180/9

x = 20

Now ,

angle AOP = 5 x

= 5 * 20

= 100

angle BOP = 4 x

= 4 * 20

= 80

now ,

angle AOP - angle BOP = 1/9 angle AOB

100- 80 = 1/9 * 180

20 = 20

LHS = RHS

Hence proved