9. In the given figure, find the value of x.
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Solution :-
We need to find ,
- The value of ‘x’ in the given figure
Given ,
- Line ACB is a straight line having two angles ∠ACD & ∠BCD
- ∠ACD = 5x
- ∠BCD = 4x
Now , using straight line property ,
Straight line property :- Sum of all angles on a straight line is equal to 180°
• ∠ACD + ∠BCD = 180°
Substituting ,
- ∠ACD = 5x
- ∠BCD = 4x
⇒ 5x + 4x = 180°
⇒ 9x = 180°
⇒ x = 180° ÷ 9
⇒ x = 20°
Hence , x = 20°
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