Question

one angle of a quadrilateral has measure (2π/5) radian and the measure of other three angles are in the ratio 2 : 3 : 4 find their measure in degree and radian ?​

Answer 1

Answer:

16π/45  , 24π/45 , 32π/45

64°  , 96°  , 128°

Step-by-step explanation:

one angle of a quadrilateral has measure (2π/5) radian and the measure of other three angles are in the ratio 2 : 3 : 4 find their measure in degree and radian ?​

Let say other angles are

2C , 3C & 4C

2π/5 + 2C + 3C + 4C = 2π

=> 9C = 2π (4/5)

=> C = 8π/45

Angles are

16π/45  , 24π/45 , 32π/45

as π radian = 180°

2π/5  = 2 * 180/5 = 72°

16π/45 = 16 * 180/45 = 64°

24π/45 = 24 * 180/45 = 96°

32π/45 = 32 * 180/45 = 128°

Answer 2

Answer:

64 degree, 96 degree, 128 degree