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
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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
.
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