Question

14. The angles of a triangle are in the ratio 2:3:5. Find
the measure of the angles.​

Answer 1

Answer:

sum of int. angle of triangle=180

2x+3x+5x =180

10x=180

x=180/10

x=18

2x=2×18=36

3x=3×18=54

5x=5×18=90

Hope it helps you.

Answer 2

Let the common multiple be x

Therefore,

• 2x + 3x + 5x = 180° ............ [Angle-sum Property]
• 10x = 180
• $x = \frac{180}{10}$
• x = 18

Therefore, the angles are -

• 2x = 2 × 18 = 36°
• 3x = 3 × 18 = 54°
• 5x = 5 × 18 = 90°

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