Q. 34.3( 15 Votes )
In the adjoining figure, AOB is a straight line. Find the value of x. Hence, find
,
and 
.
Answer :
X=32, 
=103°, ∠COD =45°
=32°
AOB is a straight line
Therefore, 
+ ∠COD + 
= 180°
⇒ (3x + 7)° + (2x - 19)° + x° = 180°
⇒ 3x + 7° + 2x - 19° + x° = 180°
⇒ 6x = 180° + 12°
⇒ 6x = 192°
⇒ x = 32°
= (3x + 7)°
= 3×32° + 7 = 103°
∠COD = (2x - 19)°
= 2×32° – 19 = 45°
= x
= 32°
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