Question

6 The angles of a triangle are in the ratio 2:5:8. What are the angles?




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Answer 1

Answer:

Answer

Given angles are in ratio 2:2:5

Let the angles be 2x,2x and 5x

sum of angles=180o

2x+2x+5x=180o

9x=180o

⇒x=20o

∴ angles are (2x,2x,5x)

⇒(40o,40o,100o).

Answer 2

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The angles of a triangle are in the ratio 2:5:8. What are the angles.

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➪Ratio of the angles of a triangle:— 2:5:8

➪Let,the angles of a triangle:— 2x,5x and 8x

➪Sum of angles in a triangle is 180°.

➪By using Angle sum property of triangle..

➔2x+ 5x+ 8x = 180°

➔15x = 180°

➔x = $\cancel \frac{180}{15}$

➔x = 12

➳2x = 2×12= 24°

➳5x = 5×12= 60°

➳8x = 8×12= 96°

➙So, the angles of the triangle are 24°,60° and 96°.