8th Class
Mathematics
Understanding Quadrilaterals
Question Bank
Understanding Quadrilaterals
question_answer
A diagonal of a rectangle is inclined to one side of the rectangle at \[{{25}^{o}}\]. What is the measure of the acute angle between the diagonals?
A) \[{{25}^{o}}\]
B) \[{{40}^{o}}\]
C) \[{{50}^{o}}\]
D) \[{{55}^{o}}\]
Correct Answer:
C
Solution :
Since \[\angle CAB={{25}^{o}}\] \[\angle CAB={{65}^{o}}\] Let diagonals meet at O. \[\Delta \,\,OCB\] is an isosceles triangle. \[\therefore \] \[\angle OBC={{65}^{o}}\] \[\Rightarrow \] \[\angle BOC={{50}^{o}}\]