Question

The angles of quadrilateral are in the ratio of 2 : 3 : 4: 6. Find it angles. ​

Answer 1

Answer:

If 2:3:4:6 is the ratio of angles of a quadrilateral, then its angles are 48°, 72°, 96°, and 144°

Step-by-step explanation:

The ratio of angles of the quadrilateral = 2:3:4:6

Let P, Q, R, and S be the angles of the given quadrilateral

If P = 2x, then Q = 3x, R = 4x and S= 6x

Sum of the four angles P, Q, R, and S of the quadrilateral = 360

That is, 2x+3x+4x+6x = 360

15x= 360

x= 24

So P = 2x = 2*24 = 48°

Q = 3x = 3*24 = 72°

R = 4x = 4*24 = 96

A = 6x = 6*24 = 144°

So the angles are 48°, 72°, 96°, and 144°