The method will depend on what information you have, and the amount of knowledge expected of you. At the basic level, you should be able to reach an answer using the following facts:
1. The sum of the exterior angles is 360 degrees.
2. The sum of the interior angles is 360 degrees.
3. Each pair of exterior and interior angles adds to 180 degrees.
These will give equations that may be solved - individually or simultaneously (depending on your level).
If you are more advanced still, information about some of the angles may be missing but you may have side-lengths instead. Then it is a question of using the basic triginometric ratios to calculate the missing angles.
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A chevron (arrowhead) is a quadrilateral with one angle of more than 1800.
is an exterior angle of a quadrilateral always sometime or never 90 degrees
If it is a complementary angle, the missing angle is 52 degrees. If it is a supplementary angle, the missing angle is 142 degrees. If it is an opposite angle, the missing angle is 38 degrees. Obviously, you need to know what type of angle you're looking for.
A rectangle or a square.
The answer depends on what the angle is missing from!