Question

the angles of a quadrilateral are in the ratio 1:3:5:6.find the smallest angle

Answer 1

So the angle sum of the quadrilateral is 360
i.e
1:3:5:6's sum is 360 as we don't know their values we put a variable
1x + 3x + 5x + 6x = 60
15x = 360  (transpose)
x = 360/15
x= 24
and as in 1, 3, 5 & 6; 1 is the smallest number so 1x, i.e. 1*24= 24° will be the measure of the smallest angle
in case you want the measurement of other angles here you go:
3x = 3*24 = 72
5x = 5*24 = 120
6x = 6*24 = 144

(72+120+144+24=360)

Note that the bolded words are the main answers
and the underlined ones are main steps to find the answer

Answer 2

1x + 3x + 5x + 6x = 360(angle sum property)

15x=360

x=360/15

x=24

X=24

3x=72

5x=120

6x=144

The smallest angle is x =24