Question

angle of the quadrilateral are the rational of 2:3:4:6.find the degree measure of each angle​

Answer 1

Answer:

48°, 72°, 96°, 144°

Step-by-step explanation:

Let the angles be 2x, 3x, 4x, 6x

2x + 3x + 4x + 6x = 360 (Angle Sum Property of Quadrilaterals)

15x = 360

x = 24

Therefore, the angles are 2x = 2 × 24 = 48°

                                           3x = 3 × 24 = 72°

                                           4x = 4 × 24 = 96°

                                           6x = 6 × 24 = 144°

Answer 2

Step-by-step explanation:

let the commonratio of the angle of the quadrilateral be a

2a + 3a + 4a + 6a = 15a

the sum of the total angles of quadrilateral is 360

15a = 360

a = 24

therefore the angles are 48 ,72, 96, 144.