Question

The acute angles of a right angled triangle are in the ratio of 2:1 . find the measure of each of these angles​

Answer 1

Answer:

x =30 . Therefore ,Now angles are 30° , 60° . If The acute angle of a right triangle are in the ratio 2: 1 , Then the acute angles are 30° , 60°

Step-by-step explanation:

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Answer 2

Answer:

Let the three angles be ∠A,∠B,∠C

and

∠A=2x

o

∠B=1x

o

∠C=90

o

[∵ from the question the given triangle is a right angled triangle. In this one of the angle is equal to 90

o

)

Now

∠A+∠B+∠C=180

o

(sum of the angles of a triangle is 180

o

)

2x

o

+1x

o

+90

o

=180

o

3x

o

=180

o

−90

o

3x

o

=90

o

x

o

=90/3=30

Now, substitute the value of x in the given angles

∠A=2x

o

=2×30=60

o

∠B=1x

o

=1×30=30

o

Hence the other angles are 60

o

and 30

Step-by-step explanation:

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