Question

The difference between two acute angles of a right angled triangles is π/5 in radian measure. Find these angle in degrees.​

Answer 1

Step-by-step explanation:

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Answer 2

Angle in degree = π/5 x 180/π = 36°

Let x and y are two acute angles of a right triangle.

So, x – y= 36° ……(1)

Also we know,

x + y = 90° ……(2)

Solving (1) and (2), we get

2x= 126° or x = 63°

Form (2), 63° + y = 90° or y = 27°

Therefore, two acute angles are 63° and 27°.

Represent angle into radian:

We know, Angle in radians = Angle in degrees x π/180°

Angle in radians = 63° x π/180° = 7π/20

And Angle in radians = 27° x π/180° = 3π/20