Question

the acute angle of right angled triangle are 2:3.find the mesure of these angles

Answer 1

Answer:

Since its a right angled triangle then one of the angles must be 90°

The sum of the angles in a triangle is 180°

Sum of acute angles in this triangle is 180°−90=90°

Let the first one be equal to 2x and the second on be 32. The sum of 2x and 3x is 90°.

2x+3x=90°

(2+3)x=90°

5x=90°

x=90/5

x= 18°

Answer 2

Answer:

Step-by-step explanation:

let the ratios of the acute angles be 2x and 3x.

In a right angled triangle, One of the angle is definitely 90 degree.

the measure of all angles of a triangle is 180 degree

therefore, 90 + 2x + 3x = 180

90+ 5x = 180

5x = 180 - 90

5x = 90

x = 90 / 5

x = 18

Substitute x = 18

2x= 2 x 18 = 36 degree

3x = 3 x 18 = 54 degree

Therefore, measure of the 2 acute angle is 36 and 54 degree.