Math, asked by adangeria, 8 months ago

the angels of a triangle are in the ratio 3:5:7 find the measure of each angle of the triangle​

Answers

Answered by deviamrutha2006
2

angles=36,60,72

Step-by-step explanation:

3x+5x+7x=180

15x=180

x=180÷15

x=12

angles of triangle =3x=3×12=36

=5x=5×12=60

=7x=7×12=84

Answered by Anonymous
2

AnswEr :-

  • The angles are 84°, 36° and 60°

Given :-

  • Angles of a triangle are in the ratio 3:5:7.

To Find :-

  • Measure of each angle of the triangle.

SoluTion :-

Here,

angles in the ratio are 3:5:7

Put x in the ratio.

Then,

angles are

  • 3x
  • 5x
  • 7x

As we know that sum of all angles of a triangle is 180°

According to question :-

3x + 5x + 7x = 180

→ 8x + 7x = 180

→ 15x = 180

→ x = 180/15

→ x = 12

Put the value of x in the ratio

Now,

  • 3x => 3 × 12 => 36°
  • 5x => 5 × 12 => 60°
  • 7x => 7 × 12 => 84°

Hence, the angles are 36°, 60° and 84°.

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