Question

0.7
In a right angled triangle, the acute anela
are in the ratio 4:5. Find the angles of
the triangle in degree and radian.​

Answer 1

Step-by-step explanation:

Let the measures of the acute angles of right triangle be 4x and 5x.

Therefore,

$4x + 5x = 90 \degree \\ 9x =90 \degree \\ x = \frac{90 \degree}{9} \\ x = 10 \degree \\ \implies \: 4x = 4 \times 10 \degree = 40\degree \\ \implies \: 5x = 5 \times 10 \degree = 50\degree \\ radian \: measures \\ 40\degree = 40 \times \frac{ \pi}{180} = \frac{2 \pi }{9} \: radian \\ 50\degree = 50 \times \frac{ \pi}{180} = \frac{5 \pi }{18} \: radian$