Question

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

Answer 1

Answer:

Therefore:- Total measure of all angle of triangle =180°

1st angle is 90° and another 2 are 180°-90°=90°

so,4:5=90°

Ans.4x+5x=90

9x=90°

x=90°÷9=10

Therefore:- 4=4×10=40,5=5×10=50.

Answer 2

Step-by-step explanation:

Let the first angle = 4x

and second angle = 5x

Here the given ∆ is a right angled ∆ ,

so, the third angle = 90°

In the given ∆ , using angle sum property ,

$=> 4x + 5x + 90° = 180° \\ \\ </p><p></p><p>=> 4x + 5x + 90° = 180° \\ \\ => 9x = 180°-90° \\ \\ </p><p></p><p>=> 4x + 5x + 90° = 180° \\ \\ => 9x = 180°-90° \\ \\ => x = \frac{90°}{9} \\ \\ = > x = 10 °$

therefore,

the first angle = 4x = 4(10) = 40°

the second angle = 5x = 5(10) = 50°

THANK YOU