Math, asked by rajendradharmik725, 4 months ago

if one angle of a triangle is 55 degree and the other two angles are in the ratio of 2 is to 3 find the other two angles​

Answers

Answered by IamJaat
172

Given :-

  • One angle of triangle = 55°
  • Other two angles are in ratio 2:3

To find :-

  • Other two angles.

Solution :-

Let the angles in ratio be 2x and 3x respectively.

  • Angle sum property of traingle

ㅤ‎ㅤ

ㅤ‎ㅤ‎✭Sum of all the angles of ∆ =180° ✭

ㅤ‎ㅤ‎ㅤ‎ㅤ55° + 2x + 3x = 180°

ㅤ‎ㅤ‎ㅤ‎ㅤ‎➯ 5x = 180 - 55

ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ➯ 5x = 125

ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎➯ x = 125/5

ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎➯ x = 25 °

★ Other angles are :-

  • 2x = 2(25) = 50°

  • 3x = 3(25) = 75°

 \;

Answered by anujupadhyay987
19

Answer:

25° and 75°

Step-by-step explanation:

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