Question

Some angles are given below. Using the symbol of congruence write the names of the pairs of congruent angles in these figures.

Answer 1

OB is the angle bisector of $\angle$AOC.
So, $\angle$AOB = $\angle$BOC = 45$°$
Thus, $\angle \mathrm{AOB}\cong \angle \mathrm{BOC}$
Also, $\angle \mathrm{AOB}\cong \angle \mathrm{SRT}$ and $\angle$BOC $\cong$ $\angle$RST.
$\angle$AOC = $\angle$PQR = 90$°$
$\angle$AOC$\cong$$\angle$PQR
$\angle$DOC = $\angle$LMN = 30º
So, $\angle$DOC$\cong$$\angle$LMN