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.
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-> 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.
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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.
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