The difference between the two acute angles of a right triangle is π c 5 . Find these angles in radians and degrees.

Given that π c 5 Angle in degree = π 5 × 180 5 = 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 2 x = 126 ° or x = 63 ° From ( 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 × π 180 o = 7 π 20 And Angles in radians = 27 ° × π 180 o = 3 π 20

The difference between the two acute angles of a right triangle is π c 5 . Find these angles in radians and degrees.

Given that π c 5 Angle in degree = π 5 × 180 5 = 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 2 x = 126 ° or x = 63 ° From ( 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 × π 180 o = 7 π 20 And Angles in radians = 27 ° × π 180 o = 3 π 20