Question

a b c are three adjacent angles at a point on line AB such that their degrees measures are three consecutive numbers find Value of A B and C​

Answer 1

Step-by-step explanation:

Here, a,b,c are three adjacent angles at a point O on a line AB

It is given that the measure of this three angles are consecutive numbers.

Let a=x,b=2x and c=3x

⇒ a+b+c=180

o

⇒ x+2x+3x=180

o

⇒ 6x=180

o

⇒ x=

6

180

o

⇒ x=30

o

⇒ a=x=30

o

⇒ b=2x=2(30

o

)=60

o

⇒ c=3x=3(30

o

)=90

o

∴ Measure of angles a,b,c are 30

o

,60

o

and 90

o

.