Question

The two acute angle of a right triangle on the ratio 2:1. Find each of this angle​

Answer 1

Angles are 60° and 30°.

Answer 2

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$\large\bf{To~find:}$

The unknown angles of the right triangle, which are in a ratio of

2 : 1

Let the unknown angles be 2x and 1x

$\implies\bf{90°+2x+1x=180°}$ (Angle Sum Property of Triangle)

$\implies\bf{3x=180°-90°}$

$\implies\bf{3x=90°}$

$\implies\bf{x={\frac{90}{3}}}$

$\implies\bf{x={\underline{\underline{30}}}}$

Now,

• Angle with value 2x = 2 × 30 = 60°
• Angle with value 1x = 1 × 30 = 30°

$\large\therefore\bf{Required~answer:}$

The 2 accute angles are of 60° and 30°

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