In The Given Figure ACB Is A Straight Line Such That Angle DCA=3x+10,Angle DCB=2x, Find The Value Of X:-
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Linear pair of angles:
If Non-common arms of two adjacent angles form a line, then these angles are called linear pair of angles.
Axiom- 1
If a ray stands on a line, then the sum of two adjacent angles so formed is 180°i.e, the sum of the linear pair is 180°.
Given : ∠ACB is a line such that ∠DCA = 5x and ∠DCB = 4x.
∠ACD and ∠DCB form a linear pair.
∠ACD + ∠DCB = 180°
5x + 4x = 180°
9x = 180°
x = 180°/9
x = 20°
Hence, the value of x is 20°.
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