Question

In a quadrilateral PQRS, side PQ is
parallel to side RS. If angle P: angle Q =
1:2 and angle R: angle S = 4:3. Find each
angle of the quadrilateral.
​

Answer 1

Step-by-step explanation:

Let the ABCD is a quadrilateral witch ∠P,∠Q,∠Rand∠S in ratio 1:2:4:3

Sum of ratio 1+2+4+3=10

∠P+∠Q+∠R+∠S=360

0

∴∠P= 1/10×360°=36°

∴∠Q= 2/10×360°=72°

∴∠R= 3/10×360°=144°

∴∠S=4/10×360°=108°