Question

In the given figure, lines AB and CD intersect each other at point O.

If ZAOC: ZBOC = 5: 4 find BOD.​

Answer 1

Step-by-step explanation:

In figure, ray OA, stands on the line CD.

Therefore a+b=180

o

(Linear pair of angles)

It is given that a:b=4:5

There, we have sum of the ratios =4+5=9

a=180

o

×

9

4

, and b=180

o

×

9

5

=100

o

Now, c=a=180

o

and d=b=100

o

(vertically opposite angles)

Hence, a=80

o

,b=100

o

,c=80

o

and d=100