Question

In a right angle triangle, the two acute angles are in the ratio of 2: 3 . find the angles .

( please help me with my assignment question correctly ) ​

Answer 1

• x = 18
• 36
• 54

Solution:-

• Ratio of the two acute angles = 2 : 3
• Let the angles be 2x , 3x

In the right angled triangle, the measure of one angle is 90° By sum angle property ,

• 2x + 3x + 90 = 180

Now collect the like terms ,

• 5x + 90 =80

Subtract 180 by 90 ,

• 5x = 180 - 90 5x = 90

Now , divide 90 by 5 ( 90 ÷ 5 = 18 )

• x = 90/5

• x = 18

The measure of the angles are :-

• 2x = 2 × 18 = 36
• 3x = 3 × 18 = 54

Hope it helps ~