2099 43° 96° (ii) a (in 50° (i) 2 Now, let us do some examples. Example - 3. In the adjacent figure, AB is a straight line. Find the value of x and also find ZAOC, Z COD and Z BOD.
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Step-by-step explanation:
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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