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★ a) Sᴏʟᴜᴛɪᴏɴ :-
Evaluating [ ( - 21 ) + 7 ] + [ 15 + ( - 13 ) ]
➨ [ - 21 + 7 ] + [ 15 - 13 ]
[∵ + ( - ) = - ]
➨ [ - 14 ] + [ 3 ]
➨ - 14 + 3
➨ [ ( - 21 ) + 7 ] + [ 15 + ( - 13 ) ] = - 11
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★ b) Sᴏʟᴜᴛɪᴏɴ :-
Given , angles
- ∠A = 5x - 60°
- ∠B = 2x + 40°
- ∠C = 3x - 80°
As we know that , sum of all angles in a ∆ = 180°. This property is also known as angle sum property.
So ,
⇒ ∠A + ∠B + ∠C = 180°
Substituting the values of angles A , B & C.
⇒ 5x - 60° + 2x + 40° + 3x - 80° = 180°
⇒ 5x + 2x + 3x - 60° + 40° - 80° = 180°
⇒ 10x - 100° = 180°
⇒ 10x = 180° + 100°
⇒ 10x = 280°
⇒ x = 280° ÷ 10
⇒ x = 28°
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