do We need Why power sharing?
Answers
Answer:
We've to find out the Greatest angles of the given triangle. First We'll find all three angles of the triangle. & to find angles we'll use Angle sum property of triangle i.e (∠A + ∠B + ∠C = 180°).
So Let's Consider the angles of a triangle be 5x, 3x and 7x respectively.
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\begin{gathered}\bf{\dag}\;{\underline{\frak{As\;we\;know\;that,}}}\\ \\\end{gathered}
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Asweknowthat,
Sum of all angles of a triangle is 180°.
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\begin{gathered}:\implies\sf \angle\:A + \angle\:B + \angle\:C = 180^\circ\\ \\\end{gathered}
:⟹∠A+∠B+∠C=180
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\begin{gathered}\sf Here \begin{cases} & \sf{\angle\:A = \bf{5x}} \\ & \sf{\angle\:B = \bf{3x}} \\ &\sf{\angle\:C = \bf{7x}}\end{cases}\\\\\end{gathered}
Here
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∠A=5x
∠B=3x
∠C=7x
\begin{gathered}\bf{\dag}\;{\underline{\frak{ Substituting\:values,}}}\\ \\\end{gathered}
†
Substitutingvalues,
\begin{gathered}:\implies\sf \angle\:A + \angle\:B + \angle\:C = 180^\circ\\\\\\:\implies\sf 5x + 3x + 7x = 180^{\circ}\\\\\\:\implies\sf 15x = 180^\circ\\\\\\:\implies\sf x = \cancel\dfrac{180^\circ}{15}\\\\\\:\implies\underline{\boxed{\pmb{\frak{\pink{x = 12}}}}}\;\bigstar\\\end{gathered}
:⟹∠A+∠B+∠C=180
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:⟹5x+3x+7x=180
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:⟹15x=180
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:⟹x=
15
180
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:⟹
x=12
x=12
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Therefore, Angles of ∆ are :
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5x = 5(12) = 60°
3x = 3(12) = 36°
7x = 7(12) = 84°
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\therefore\:{\underline{\sf{Measure\: of\; Greatest\: angle\:of\:a\:\triangle\:is\:{\sf{\pmb{Option\;c)\;84^\circ}.}}}}}∴
MeasureofGreatestangleofa△is
Optionc)84
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Optionc)84
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.
Power sharing is desirable for the following reasons:-
(i) Prudential reason
(ii)Moral reason
Power sharing is a good way to ensure the stability of political order . Tranny of the majority is not just oppresive for the minority .
Moral reasons means Moral Responsibility in democracy. People have a right to be consulted on how they have to be governed