8th Class
Mathematics
Practical Geometry
Question Bank
Geometry
question_answer
A diagonal of a rectangle is inclined to one side of the rectangle at\[\angle PQS\]. The acute angle between the diagonals is
A) \[{{90}^{o}}\]
B) \[{{42}^{o}}\]
C) \[{{48}^{o}}\]
D) \[{{38}^{o}}\]
Correct Answer:
C
Solution :
Since, \[\Rightarrow \], clearly \[\frac{AO}{OD}=\frac{2}{1}\]. Let diagonals meet at O. Triangle OCB is an isosceles triangle. \[AO:OD=2:1\] \[\angle A,\angle B,\angle C\] Hence \[\angle D\] \[{{360}^{o}}\]