Question

If the angles of a triangle are in the ratio

5 : 4 : 3, then the angles are :

(1) 50,40,30 (2) 60,80,40

(3) 50,60,70 (4) 75,60,4

step by step explanation plz..​

Answer 1

Answer:

the answer is 75,60 and 45

Step-by-step explanation:

5x+4x+3x = 180

12x=180

x=180/12

x=15

now,

5x = 5×15=75

4x = 4×15=60

3x = 3×15=45

hence the angles are 75 60 and 45

please matk this as brainliest

Answer 2

A n s w e r

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G i v e n

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• Ratio of angles of a triangle is 5 : 4 : 3

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F i n d

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• Measure of each angles

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S o l u t i o n

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Given that the angles of a triangle are in the ratio of 5 : 4 : 3

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Let the angles be -

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$\underline{\bold{\texttt{1st angle :}}}$

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➠ 5a ⚊⚊⚊⚊ ⓵

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$\underline{\bold{\texttt{2nd angle :}}}$

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➠ 4a ⚊⚊⚊⚊ ⓶

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$\underline{\bold{\texttt{3rd angle :}}}$

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➠ 3a ⚊⚊⚊⚊ ⓷

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We know that the sum of all interior angle of a triangle is 180°

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So,

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➜ 5a + 4a + 3a = 180°

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➜ 12a = 180

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➜ $\sf a = \dfrac { 180 } { 12 }$

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➜ a = 15 ⚊⚊⚊⚊ ⓸

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⟮ Putting a = 15 from ⓸ to ⓵ ⟯

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➜ 5a

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➜ 5(15)

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➨ 75°

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• Hence the measure of 1st angle is 75°

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⟮ Putting a = 15 from ⓸ to ⓶ ⟯

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➜ 4a

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➜ 4(15)

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➨ 60°

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• Hence the measure of 2nd angle is 60°

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⟮ Putting a = 15 from ⓸ to ⓷ ⟯

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➜ 3a

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➜ 3(15)

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➨ 45°

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• Hence the measure of 3rd angle is 45°

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∴ The angles of triangle are 75° , 60° & 45°