In the given figure, AB is a straight line. Find the measure of: (a) AOC (b) BOC
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Answer:
Since
AB
is a straight line, the sum of all the angles on
AB
at a point O is 180
o
.
∴(3x+7)
o
+(2x−19)
o
+x=180
o
(Linear angles)
⇒6x−12=180⇒6x=192⇒x=32
o
So, ∠AOC=(3x+7)
o
=(3×32+7)
o
=103
o
,
∠COD=(2x−19)
o
=(2×32−19)
o
=45
o
,∠BOD=32
o
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