Question

The ratio of the angles of a quadrilateral is 1:3:5:6. Find the measure of each angle
of the quadrilateral.

Answer 1

Answer:  hence the measures of  angles are

24 deg

72 deg

120 deg

144 deg

Step-by-step explanation:

Given the four angles of a quadrilateral are in the ratio 1:3:5:6

Then Let the angles are x,3x,5x and 6x

We know that total of  four angles of a quadrilateral =360 deg

∴x+3x+5x+6x=360

⇒15x=360

⇒x=24 deg

 hence the measures of  angles are

24 deg

72 deg

120 deg

144 deg

Answer 2

Answer:

1 (24) + 3 (72) + 5 (120) + 6 (144) = 360

Step-by-step explanation:

1 + 3 + 5 + 6 = 15

15x = 90 + 90 + 90 +90

     = 360

  x = 24