Question

What is the value of a in the given figure​

Answer 1

a = 10

Explanation:

CF is a straight line , so the 3 angles on it sum to 180° , then

∠ BOA = 180° - (90 + 40)° = 180° - 130° = 50°

∠ DOE = ∠ BOA ( vertical angles ) , then

5a = 50 ( divide both sides by 5 )

a = 10

Answer 2

soln

let one side be c

let another side be d

then

40=d(vertically opposite angle)

5a =c(vertically opposite angle)

again

c+90=180(being linear pair)

or, c=180-90

therefore, c=90

finally

let c be a

5a=5×90

=450