Question

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. The smallest of these angles is

(a) ${45}^{\circ }$

(b) ${60}^{\circ }$

(c) ${36}^{\circ }$

(d) ${48}^{\circ }$

Answer 1

3x+4x+5x+6x=360
18x=360
x=360/18
x=20

3x
=3(20)
=60

4x
=4(20)
=80

5x
=5(20)
=100

6x
=6(20)
=120

The angles are 60, 80, 100, and 120 degrees.
option b is correct