SOLUTION: In a quadrilateral PQRS, the angles P, Q and R are in the ratio 1:4:8 and their sum is 273 degrees. Find: i) Angle S, ii) Angle R.

Question 457297: In a quadrilateral PQRS, the angles P, Q and R are in the ratio 1:4:8 and their sum is 273 degrees. Find:
i) Angle S,
ii) Angle R.
Answer by poliphob3.14(115) (Show Source): You can put this solution on YOUR website!
Let angle P = x degree, then angle Q=4x degree, and angle R=8x degree.
Since the sum of these three interior angles is 273 degree we write the equation:
solving this equation we get x=21 degree
We know that the sum of interior angles of a quadrilateral is 360 degree, then
the angle S=360-273=87 degree.
Answer:The measure of angle S=87 degree , and the angle R=8*21=168 degree.
RELATED QUESTIONS
In quadrilateral PQRS, the measure of angle P exceeds the measure of angle Q by 10... (answered by cleomenius)

In parralelogram PQRS, the measure of angle P is (3x-4)degrees degrees. The measure of... (answered by KMST)

if the quadrilateral PQRS , angle p =3 times angle q , angle r = 4 times angle s . if... (answered by srinivas.g)

The quadrilateral PQRS has vertices P(2,4), Q(5,1), R(-1,-2) and S(-4,1). Prove that PQRS (answered by MathLover1)

Quadrilateral PQRS is inscribed in a circle. The ratio of m(angle)P to m(angle)R is 2:4.... (answered by greenestamps)

In a rhombus PQRS , angle Q = 108� calculate angle R , angle S , angle... (answered by ikleyn)

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. Find the number if degrees... (answered by robertb)

(1)Quadrilateral PQRS is a rectangle with diagonals PR and QS.If angle 1=18, find the... (answered by jrfrunner)

points P(5,1), Q(0,6) and R(-5,1) are plotted on a coordinate plane. Where must point S... (answered by KMST)