Question

If the angle P,Q,R and S taken in order, are in the ratio 8:2:7:3, then find the difference between the measure of angle P and angle S.

Answer 1

P=3x, Q=7x, R=6x, S=4x
P+Q+R+S=360
3x+7x+6x+4x=360
20x=360
x=18
p=3x=54
Q=7x=126
R=6x=108
S=4x=72

Answer 2

Answer:

Let the angle be x

Step-by-step explanation:

thus, 8x+2x+7x+3x= 360 [angle sum property of a quadrilateral]

20x= 360

x=18

Hence, 8x=18*8 =144

            2x=18*2 =36

            7x= 18*7 =126

            3x= 18*3 =54