Math, asked by SmKwin, 3 months ago

Find the
9. If one angle of a triangle is 60° and the other two angles are in the ratio 2 :3, find
these angles.
hali 1
find +​

Answers

Answered by akshrajain30aug2007
1

Answer:

The angles are 60°,48°,72°

Step-by-step explanation:

leave the angle be 2x and 3x

60°+2x+3x=180°

5x=180°-60°= 120°

x=120/5=24

2x=2*24=48

3x=3*24=72

The angles are 60°,48°,72°

Answered by Anonymous
44

\huge\red{correct}\huge\red{question}

If one angle of a triangle is 60° and the other two angles are in the ratio 2 :3, find the two angles .

\huge\underline{\underline{\bold{\red{A}\green{n}\orange{s}\pink{w}\blue{e}{r}}}}

48°, 72°

Step-by-step explanation:

\sf\large\underline\purple{Given:)}

  • the first angle

\sf\large\underline\purple{to}\sf\large\underline\purple{find :)}

  • we have to find two Angles

\sf\large\underline\purple{Let's}\sf\large\underline\purple{start:)}

  • we know that sum of three angles is equal to 180

one angle of triangle = 60

60 + x + x = 180

the ratio between second and third angle = 2:3

60 + 2x+ 3x = 180

2x + 3 x = 180 - 60

2 x + 3x = 120

5x = 120

x =  \frac{120}{5}

x = 24

so, the second angle = 2× 24 = 48 °

the third angle = 3× 24 = 72 °

angles are 60° , 48° ,72°

let verify it :

  • we know that sum of all three angles = 180
  • 60° + 48° + 72° = 180°
  • we have done verify also!

Hence , we have done !


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