Vertical angles are angles that are on the opposite sides of two lines that intersect. In the figure below, angle a and angle b are vertical angles.
Yes, vertical angles are congruent or equal. For example, referring to the figure above, if angle a is equal to 70 degrees, angle b is also equal to 70 degrees. Why are vertical angles congruent? Check vertical angles theorem to see a proof!
No, this is impossible! Vertical angles are opposite to each other, never adjacent or next to each other.
Yes, it is possible for vertical angles to be complementary. Complementary angles add up to 90 degrees.
Referring to the figure above, this means that angle a + angle b = 90 degrees.
Since angle a = angle b, we get angle a + angle a = 90 degrees.
2 angle a = 90 degrees
angle a = 45 degrees.
angle b = 45 degrees.
Vertical angles are complementary when each of the two angles is equal to 45 degrees.
Yes, it is possible for vertical angles to be supplementary. Supplementary angles add up to 180 degrees.
Referring to the figure above, this means that angle a + angle b = 180 degrees.
Since angle a = angle b, we get angle a + angle a = 180 degrees.
2 angle a = 180 degrees
angle a = 90 degrees.
angle b = 90 degrees.
Vertical angles are supplementary when each of the two angles is equal to 90 degrees.
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