Question

The difference between the two acute angle of the right triangle is (π/5)power(c).Find these angles in radian and degree
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Answer 1

Step-by-step explanation:

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