Question

Diagonals of rectangle $ABCD$ intersect at point $O$. If $AC=8cm$ then find $BO$ and if $\angle CAD={35}^0$ then find $\angle ACB$

Answer 1

Diagonals of a rectangle are congruent.
So, $AC=BD=8$ cm
Also, rectangle is a parallelogram so, the diagonals bisect each other.
Thus, $BO=OD=4$ cm
Now, $AD||CB$
So, $\angle CAD=\angle ACB={35}^o$
(Since, alternate interior angles are equal)