Question

In the right angled triangle the two acute angles are in the ratio 2:3find the angle​

Answer 1

Answer:

36 and 54

Step-by-step explanation:

let the angles be 2x and 3x

90 degree + 2x+3x = 180  degree (ASP of Triangle)

90degree + 5x = 180 degree

5x = 180/90

5x = 90 degree

x = 90/5

x= 18 degree

therefore the angles are 18*2 = 36 degree and 18*3 = 54 degree

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Answer 2

Answer:

36 and 54 degrees

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Step-by-step explanation:

we will use the following to answer this question:

• a right triangle has one right angle and 2 acute angles.
• in a ratio, the terms are multiplied/divided by a common number to simplify the values.
• the sum of all the angles of a triangle is 180 deg.

now, we will take this equation to solve it (it is based on the given facts) we will use 'n' as the unknown number which multiplies the terms of the ratio.

2n + 3n + 90 = 180

5n + 90 = 180

5n = 180 - 90

5n = 90

n = 90/5

n = 18

now, we find out what the terms of the ratio were, initially - before simplification.

2n = 18 x 2 = 36

3n = 18 x 3 = 54

thus, the acute angles of the right angles triangle will be 36 and 54 degrees