How can you tell which angle is larger?
Compare how far each gold arc turns around its vertex. The direction of the rays and the lengths of the lines do not change the angle. For example, 120° is 30° larger than 90° even if the 90° diagram has longer rays.
What if the arc goes past a straight line?
A marked turn beyond 180° is a reflex angle. If both angles are reflex, look at the small unmarked gaps. The smaller gap leaves the larger marked angle, since each gap and its marked turn add up to 360°.
Review angle types with diagrams, then practice drawing an angle yourself.