Approach:
Remember, if the question doesn't say “Figure Not Drawn to Scale,”
you can generally come up with a very accurate estimate of the angle. Harder questions
require you to work through several angles in order to arrive at the correct answer.
Straight lines are always made up of 180° angles.
Vertical angles are opposite angles formed by the intersection of any two lines.
Vertical angles are always equal to one another.
When two parallel lines are intersected by a third straight line, all of the
small angles created are equal to one another. Additionally, all of the large angles created
are equal to one another.
The sum of the measures of the interior angles of any triangle is always 180°.
The sum of a polygon's interior angles = (Number of Sides - 2) * 180°
You can also count the number of triangles you can draw from one vertex
inside the polygon and multiply by 180°.
Hexagon: 6 sides.
Use this equation: (6 - 2) * 180° = 720°
Now draw the triangles to confirm. How many are there?
The sum of the exterior angles of any polygon
is always 360°, no matter how many sides it has.