Question

017: What are the angles of a triangle if the angles of a triangle are in the ratio 2:3:4​

Answer 1

Step-by-step explanation:

let ratios be 'x'

2x + 3x,+ 4 X= 180 ( angle sum property of a triangle )

9 X = 180

X= 180÷9

x = 20

first angle

2x = 20 × 2 = 40 degrees

second angle

3x= 20 × 3 = 60 degrees

third angle

4x = 20 × 4 = 80

( to verify your answer you can add the angles check if the sum of angles is 180 or not )

verification

40 +60+80 = 180 ( hence verified )

pls make it a brainliest answer

Answer 2

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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