Question

Which of the following will make a triangle? A. 55°, 65°, 60° B. 125°, 45°, 35° C. 115°, 35°, 30°​

Answer 1

Answer:

Option A

Step-by-step explanation:

We all know that sum of all angle of a triangle is 180 degree.

so In option A

If we add 55+65+60 then we get 180°.

So A is the correct answer

Answer 2

Question :

Which of the following will make a triangle?

A) 55°, 65°, 60°

B) 125°, 45°, 35°

C) 115°, 35°, 30°

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Solution :

Option - (A) & Option - (C) are ✔

55°, 65°, 60° & 115°, 35°, 30° will makes a triangle.

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Step-by-step Explanation :

Formula Used :

$\color{navy}⇝ \: \pink{ \boxed{ \bf Sum \: of \: all \: angles _{(Triangle)}\: = \: 180° }}$

Solution :

First, We have to find Option (A) :

Given :

• First angle = 55°
• Second angle = 65°
• Third angle = 60°

According to the question by using formula we get,

$\bf \implies \: Sum \: of \: all \: angles _{(Triangle)}\: = \: 180°$

$\sf \implies \: angle _{(1)} + angle _{(2)} + angle_{(3)} \: = \: 180°$

$\sf \implies \: 55 \degree + 65 \degree+ 60 \degree \: = \: 180°$

$\bf \implies \red{180 \degree \: = \: 180° }$

★ L.H.S = R.H.S

∴ Hence, It makes a triange.

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Next, We have to find Option (B) :

Given :

• First angle = 125°
• Second angle = 45°
• Third angle = 35°

According to the question by using formula we get,

$\bf \implies \: Sum \: of \: all \: angles _{(Triangle)}\: = \: 180°$

$\sf \implies \: angle _{(1)} + angle _{(2)} + angle_{(3)} \: = \: 180°$

$\sf \implies \: 125 \degree + 45 \degree+ 35 \degree \: = \: 180°$

$\bf \implies \red{205\degree \: ≠ \:180° }$

★ L.H.S ≠ R.H.S

∴ Hence, It will not makes a triange.

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Now, We have to find Option (C) :

Given :

• First angle = 115°
• Second angle = 35°
• Third angle = 30°

According to the question by using formula we get,

$\bf \implies \: Sum \: of \: all \: angles _{(Triangle)}\: = \: 180°$

$\sf \implies \: angle _{(1)} + angle _{(2)} + angle_{(3)} \: = \: 180°$

$\sf \implies \: 115 \degree + 35 \degree+ 30 \degree \: = \: 180°$

$\bf \implies \red{180 \degree \: = \:180° } \:$

★ L.H.S = R.H.S

∴ Hence, It makes a triange.

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