Question

In a quadrilateral ABCD, the angles A,B,C and D are in the ratio 1:2:3:4. The measure of smallest angle is

a.36 degree
b.54 degree
c.72 degree
d. 18 degree
​

Answer 1

Answer:

a. 36 degree

Step-by-step explanation:

Let's consider the angles as x, 2x, 3x and 4x.

Sum of all angles of quadrilateral = 360°.

x + 2x + 3x + 4x = 360°.

10x = 360°.

x = 360 ÷ 10

x = 36°.

Smallest angle is x which is equal to 36°.

Answer 2

Answer:

Step-by-step explanation:

The ratio of the angles is

1:2:3:4

multiplying by x

x:2x:3x:4x

sum of angles =x+2x+3x+4x=360

10x=360

x=36°

Thus the smallest angle x=36° option(a)