Question

Choose the correct term and fill in the blanks :

In the figure :

Acute vertically opposite angles are …………………….. ($\angle AOC$ and $\angle DOE$/$\angle AOC$ and $\angle BOD$)

Answer 1

Acute angle: An acute angle is an angle that measures greater than $0°$ and less than $90°$.

Vertically opposite angles :

When two lines intersect, the opposite angles are equal. These angles are called vertically opposite angles because they are opposite to each other at a vertex. As :

Now, as per the question :

$\angle AOC$ and $\angle BOD$ are acute angles and opposite to each other at vertex $O$.

Hence acute vertically opposite angles are $\angle AOC$ and $\angle BOD$.