Question

The angles of a quadrilateral are in the ratio 2:3:5:8 .The smallest angle is

Answer 1

Answer:

40

Step-by-step explanation:

sum of ratio is equal to 2 + 3 + 5 + 8 is equal to 18

2 upon 18 x 360 is equal to 40 degree

Answer 2

Ratio of angles = 2:3:5:8

Let one part of the ratio be x

Therefore, angles are 2x, 3x, 5x and 8x

Sum of angles in a quadrilateral = 360 degree.

Therefore,

2x + 3x + 5x + 8x = 360

18x = 360

x = 360/18 = 20

Smallest angle = 2x = 2*20= 40 degrees.