Question

The angles of a quadrilateral are in the ratio 3⁚8⁚5⁚2 Find the smallest angle. ​

Answer 1

Answer:

20°

Step-by-step explanation:

3x+8x+5x+2x=180°18x=180°

x=180°/18

x=10°

3x=3×10

=30°

5x=5×10°

=50°

8x=8×10°

=80°

2x=2×10°

=20°

20° is the smallest angle

Answer 2

Answer:

Let the all angles be x,so

3 be 3x, 8 be 8x, 5 be 5x and 2 be 2x

As we all know that the sum of all angles of quadrilateral is 360.

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

18x= 360

x=360/18

x= 20

the smallest angle is 2x=2×20

=40 Ans of this question