Question

In right angled triangle the difference between two acute angles is (π/15) radian.find the angles in degree

Answer 1

Answer:

51°,39°,90°

Step-by-step explanation:

Degree measure =180π× radian measure

The sum of the two acute angles of a right triangle is 90∘

Difference between the actute angles

π15c=(π15×180π)∘

⇒12∘

Let the two acute angles be x∘ and y∘ then,

x+y=90∘--------(1)

x−y=12∘--------(2)

____________________

2x=102∘

x=51∘

⇒y=39∘

Hence the angles of a triangle are 51∘,39∘,90∘

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