Question

plzzz give Answer with explanation !!!​

Answer 1

Correct Question:-

• What are the angles of a triangle if the angles of a triangle are in the ratio 2:3:4 .

AnswEr :-

• $\boxed{\purple{\sf{\star{Three\:angles\:of\:triangle\:are\:-:40⁰,\:60⁰\:and\:80⁰. }}}}$

Explanation:-

☆Figure related to the question-;

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Given :-

• The angle of triangle are in ratio 2:3:4 .

To Find :-

• The angles of triangles.

Solution-:-

☆ Let the three angles of triangle be -:

(Angle)¹ -: 2x ⁰

( Angle)² -: 3x ⁰

(Angle)³ -: 4x ⁰ ................... [1]

$\boxed{\blue{\sf{\star{The\:total \: sum\:of\:angles \:of\:triangle \:are \:-:\:180⁰}}}}$

Or ,

$\boxed{\blue{\sf{\star{\:(Angle)_{1}\: +\:(Angle)_{2} \:+ \:(Angle)_{3} \:=\:180⁰}}}}$

Here ,

(Angle)¹ -: 2x ⁰

( Angle)² -: 3x ⁰

(Angle)³ -: 4x ⁰ ................... [From 1]

Now ,

$\pink{\sf{\rightarrow { 2x + 3x + 4x = 180⁰ }}}$

$\pink{\sf{\rightarrow { 5x + 4x = 180⁰ }}}$

$\pink{\sf{\rightarrow { 9x = 180⁰ }}}$

$\pink{\sf{\rightarrow { x=\frac{ 180}{9} }}}$

$\pink{\sf{\rightarrow { x = 20⁰ }}}$

Therefore,

$\boxed{\purple{\sf{\star{x\:-:20⁰ }}}}$

Now ,

(Angle)¹ -: 2x = 2 × 20 = 40⁰

( Angle)² -: 3x = 3 × 20 = 60⁰

(Angle)³ -: 4x = 4 × 20 = 80⁰............[2]

Hence ,

$\boxed{\purple{\sf{\star{Three\:angles\:of\:triangle\:are\:-:40⁰,\:60⁰\:and\:80⁰. }}}}$

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♤ Verification:-

$\boxed{\blue{\sf{\star{\:(Angle)_{1}\: +\:(Angle)_{2} \:+ \:(Angle)_{3} \:=\:180⁰}}}}$

Here ,

(Angle)¹ = 40⁰

( Angle)² = 60⁰

(Angle)³ = 80⁰............[From 2]

Now ,

$\pink{\sf{\rightarrow { 40 + 60 + 80 = 180⁰ }}}$

$\pink{\sf{\rightarrow { 100 + 80 = 180⁰ }}}$

$\pink{\sf{\rightarrow { 180⁰ = 180⁰ }}}$

Therefore,

$\boxed{\purple{\sf{\star{LHS \: =\: RHS}}}}$

$\boxed{\green{\sf{\star{Hence \: ,\: Verified!}}}}$

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Answer 2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge\color{skyblue}\bf \: \dag{ Answer:-}$

The angles of triangle are  40, 60 and 80.

$\sf{Explanation}$

It is given that the angle of triangle are in the ratio 2 : 3 : 4. Let the angles are 2x, 3x and 4x.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

2x+3x+4x=180

9x=180

x=20

The value of x is 20.

2x=2(20)=40

3x=3(20)=60

4x=4(20)=80

Therefore the angles of triangle are  40, 60 and 80.

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