Geometry Quests By Skanda - 4

Geometry Level 1

In quadrilateral PQRS, angle Q = 80 degrees.

Angle R - angle S = 50 degrees.

angle P - angle R - angle S = 20 degrees.

Find the measures of angles P, R and S

ASSUME THAT angles P, R and S ARE a, b and c

YOU WILL GET THE ANSWER AS a, b and c

PROVIDE THE ANSWER AS a + b + c


The answer is 280.

Skanda Prasad by Skanda Prasad , 20, India

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3 solutions

Mehul Arora
Mar 15, 2015

LOL. For those who were trying to solve the question by equations, I would like to say that you have been trolled...

In a quadrilateral the sum of all the angles is 360 degrees,

If angle Q=80 degrees the sum of the rest of the angles will be 280 degrees.. XD

5 Helpful 0 Interesting 0 Brilliant 0 Confused

The sum of interior angles of a quadrilateral is 360 360 . So P + R + S = 360 − 80 = P+R+S=360-80= 280 \boxed{280} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Noel Lo
Apr 9, 2015

Same here. You don't need to find the individual values of a, b and c. No wonder it is worth only 20 points. XD

0 Helpful 0 Interesting 0 Brilliant 0 Confused

No wonder I expected a worthy solution to my problem from you...

Skanda Prasad - 6 years, 2 months ago

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No offense but this question wasn't even worth 20 points

Swarang Pundlik - 5 years, 7 months ago

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