Question

The acute angles of a right triangle are in the ratio 4:5.Find each of these angles

Answer 1

Step-by-step explanation:

Given-

1 angle be 90º

2angle be 4x

3 angle be 5x

sum of all sides of the triangle=180º

4x+5x+90º=180º

9x+90º=180º

9x=90º-180º

9x=90º

x=90÷9

x=10

4x=4×10

=40º

5x=5×10

=50º

hence,

4x and 5x be 40º and 50º

Answer 2

The acute angles are 40° , 50°

Given :

The acute angles of a right triangle are in the ratio 4 : 5

To find :

The acute angles

Solution :

Step 1 of 2 :

Form the equation to find the acute angles

Here it is given that the acute angles of a right triangle are in the ratio 4 : 5

Let the acute angles are 4x and 5x

Since sum of three angles of a triangle = 180°

∴ 4x + 5x + 90º = 180º

Step 2 of 2 :

Find the acute angles

4x + 5x + 90º = 180º

⇒ 9x + 90° = 180°

⇒ 9x = 180° - 90°

⇒ 9x = 90°

⇒ x = 10°

Hence the acute angles are 40° and 50°

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?

https://brainly.in/question/18539197

2. The measure of each angle of an equilateral triangle is

https://brainly.in/question/23122603

#SPJ3