Question

If the two acute angles of a right angled triangle are in the ratio 9: 6. Find these angles. *​

Answer 1

Answer:

ANSWER

Let the measure of the two angles be 2x and 3x (Since angles are in the ratio 2:3)

According to question,

2x+3x+90°=180°

5x=180°−90°

5x=90

x=

5

90

x=18

∴ one angle is 2x=2×18=36°, second angle is 3x=3×18=54° and the third one is 90° as it is a right angled triangle.

Step-by-step explanation:

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Answer 2

Answer:

Let the angles be 9× & 6×

And third angle is 90°

So, according to the angle sum property of triangle we have,

9× + 6× + 90 = 180

15× + 90 = 180

15× = 180-90

= 90

× = 90/15

= 6

So,

Angles are,

9× = 9 * 6 = 54°

6× = 6 * 6 = 36°