Question

In a right-angled triangle,two acute angles are in the ratio 2:3, what are their measure?​

Answer 1

Answer:

in a right angled triangle one angle is 90 degrees

let the other two angles be 2x and 3x

2x + 3x + 90=180  (Sum of all the angles of a triangle is 180 degrees)

5x=90

x=18

so the other two angles are

2x=2*18=36 degrees.

3x=3*18=54 degrees.

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Answer 2

Answer:

(Let the angles be 2x and 3x)

Measure of triangle = 180

2x + 3x + 90=180  because sum of all the angles of a triangle is 180 degrees

So 2x +3x = 180 -90

2x+3x=90

5x=90

x=18

2x=2 * 18=36 degrees.

3x=3 * 18=54 degrees.

One angle is 36 and other one is 54.