The difference between two acute angles of a right angled triangles is π/5 in radian measure. Find these angle in degrees.
Share
The difference between two acute angles of a right angled triangles is π/5 in radian measure. Find these angle in degrees.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
Good morning have a good day
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