8th Class
Mathematics
Practical Geometry
Question Bank
Geometry
question_answer
In figure \[\angle P=\angle R={{100}^{o}}\] If \[\angle S={{75}^{o}}\] The ratio of the areas of \[\angle Q\] and the trapezium BCED is:
A)3:5
B)9:16
C)6:9
D)None of these
Correct Answer:
B
Solution :
First draw \[{{54}^{o}}\] Given: \[{{27}^{o}}\] Let DE = 3x, BC = 5x And \[{{90}^{o}}\] Now, Area of \[\angle BOD={{120}^{o}}\] Area of \[\angle ACD\] Now, Area of trapezium DEBC = Area of \[{{30}^{o}}\] of\[{{40}^{o}}\] \[{{60}^{o}}\] Ratio of area of \[{{90}^{o}}\] and Area of trapezium \[{{30}^{o}}\]