Math, asked by lenamariya0136, 3 months ago

in an isosceles triangle one angle is 70 degree. the other two angles are

a. 65 degree and 65 degree
b. 70 degree and 40 degree
c. 60 degree and 70 degree
d. 50 degree and 70 degree



plzzz help mee​

Answers

Answered by rajeshkumar52396
2

b part

hope this answer is correct and would help u ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answered by Anonymous
7

\large\underline{\underline{\sf{\maltese\:\: \red{Question \: : }}}}

In an isosceles triangle one angle is 70°. the other two angles are

⭕ 65° and 65°

✅ 70° and 40°

⭕ 60° and 70°

⭕ 50° and 70°

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\large\underline{\underline{\sf{\maltese\:\: \red{Concept \: Used \: : }}}}

Sum of all the angles of a triangle is \bold{180^\circ}.

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\large\underline{\underline{\sf{\maltese\:\: \red{Solution \: : }}}}

Let say there's an isosceles triangle namely Δ ABC where ∠A = 70°.

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Now in ∆ ABC

∠A + ∠B + ∠C = 180° [Angle sum property of triangle]

⇒ 70° + ∠B + ∠C = 180°

⇒ ∠B + ∠C = 180° - 70°

⇒ ∠B + ∠C = 110°

\underline{\bold{\angle{B} \: + \: \angle{C} \: = \: 110^\circ}}

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Now looking at the Options.

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☞ Option A

65° + 65°

= 130°

\bold{130^\circ \ne 110^\circ}

So Option A is wrong. ❌

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☞ Option B

70° + 40°

= 110°

\bold{110^\circ = 110^\circ}

So Option B is right. ✅

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☞ Option C

60° + 70°

= 130°

\bold{130^\circ \ne 110^\circ}

So Option C is wrong. ❌

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☞ Option D

50° + 70°

= 120°

\bold{120^\circ \ne 110^\circ}

So Option D is wrong. ❌

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∴ The other two angles are 70° and 40°.

\boxed{\bold{ \underline{So, \: \: Option \: \: B \: \:  is \: \: right. }}} \: \: \huge\green\checkmark

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