Question

Choose the correct term and fill in the blanks :

In the figure :

Obtuse vertically opposite angles are …………………….. ($\angle \hspace{0.17em}BOC$ and $\angle AOC$/$\angle \hspace{0.17em}BOC$ and $\angle AOD$)

Answer 1

Obtuse angle: An obtuse angle is an angle that measures greater than $90°$ and less than $180°$.

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 :

$\angle \hspace{0.17em}BOC$ and $\angle AOD$ are obtuse angles and opposite to each other at vertex $O$.

Hence, obtuse vertically opposite angles are $\angle \hspace{0.17em}BOC$ and $\angle AOD$.