Math, asked by yashhcjgbhv, 4 months ago

The angles of a triangle are in the ratio 1:3:5. Find the measure of each of the angles

please explain every step​

Answers

Answered by sanukuma2222
56

RELEVANT ANSWER ⬇️..

Let the angles of triangle be 'x', '3x' and '5x'

=》 x + 3x + 5x = 180° [angle sum property]

=》 9x = 180°

=》 x = 20°

hence, the angles of triangle are :-

x = 20°, 3x = 60° and 5x = 100°

HOPE THIS WILL HELP YOU ✌✌....

Answered by Anonymous
37

\huge{\underline{\underline{\bf{\red{Required \: Answer→ }}}}}

GiveN :-

  • Ratios of angles of triangle = 1:3:5

To FinD :-

  • Measures of all angles of triangle

Explanation :-

[ Let the given triangle is ABC]

According to the question,

A : B : C = 1:3:5

Or,

  • ∠ A = 1x
  • ∠B = 3x
  • ∠C = 5x

[We know that , sum of angles of triangle= 180°]

Hence, we can say that -

∠A +∠ B + ∠C = 180°

[ Substitute the values of A, B, C in above statement]

1x + 3x + 5x = 180°

=> 9x = 180°

=> x =  \frac{180}{9}

=> x = 20°

So, the angles of triangle are as =>

  • 1x = 1 × 20° = 20°
  • 3x = 3×20° = 60°
  • 5x = 5×20° = 100°

Or,

  • ∠A = 20°
  • ∠B = 60°
  • ∠C = 100°

Final Answer =>

Angle of triangle are = 20°, 60°, and 100°

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