Q14 of 153 Page 148

An angle is one – fifth of its supplement. The measure of the angle is

Let x be the common multiple.

According to question,

y= 5x

As we know that sum of two supplementary – angles is 180^o.

So, x + y = 180^o

x + 5x= 180

6x = 180^o

x = 30^o

In the given figure, AOB is a straight line. If ∠AOC = (3x – 10)°, ∠COD = 50° and ∠BOD = (x + 20)°, then ∠AOC = ?

Which of the following statements is false?

In the adjoining figure, AOB is a straight line. If x : y : z = 4 : 5 : 6, then y = ?

In the given figure, straight lines AB and CD intersect at O. If ∠AOC = ϕ, ∠BOC = θ and θ = 3θ, then θ = ?