The difference between the acute angles of a right-angled triangle is 2- 5 radians- Express the angles in degrees-

2π5 = 2π5×180/π = 36 × 25 = 725 = 14.4^ ∘ ...

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Standard VI

Mathematics

Angle

The differenc...

Question

The difference between the acute angles of a right-angled triangle is $\frac{2 π}{5}$ radians. Express the angles in degrees.

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Solution

$\frac{2 π}{5}$

$= \frac{2 π}{5} \times \frac{180}{π}$

$= \frac{36 \times 2}{5} = \frac{72}{5}$

$= {14.4}^{\circ}$

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The difference between the acute angles of a right-angled triangle is 2π5 radians. Express the angles in degrees.

2π5=2π5×180π=36×25=725=14.4∘

The difference between the acute angles of a right-angled triangle is $\frac{2 π}{5}$ radians. Express the angles in degrees.

$\frac{2 π}{5}$

$= \frac{2 π}{5} \times \frac{180}{π}$

$= \frac{36 \times 2}{5} = \frac{72}{5}$

$= {14.4}^{\circ}$