Question

find the value of a. ​

Answer 1

Step-by-step explanation:

Let Center be O

We have, Give that

∠COE=30°

∠AOF=90°

and ∠BOD=5a

Now,

∠COE=∠DOF (vertically opposite angle)

Hence,

∠DOF=30°

now, As we know

∠AOF+∠DOF+∠DOB=180°(sum of linear pair of angle)

Now,

90°+30°+5a=180°

120°+5a=180°

5a=180°-120°

5a=60°

a=

$\frac{60}{5}$

Hence, a=12