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Name__________________________________Per____Date___________
Geometry
Pairs of Angles
Day 2 CW
___________________________ – Two angles in the same plane that have a common side but
do not have any interior points in common (2’s that are next to each other).
Angle ABC and angle DBC are adjacent angles.
Their common vertex is B and their common
side is BC .
__________________________ – Two angles are complementary if and only if the sum of
their measures is 90o (2’s whose sum is 90o).
If an angle contains 50 degrees, its complement is ______.
If an angle contains x degrees, its complement is _______.
If an angle contains (x + 10)o, its complement is ________.
__________________________– Two angles are supplementary if and only if the sum of their
measures is 180o (2 ’s whose sum is 180o).
If an angle contains 70 degrees, its supplement is ______.
If an angle contains x degrees, its supplement is _______.
If an angle contains (x + 100) o, its supplement is ________.
_____________________– Two adjacent angles that form a line and are supplementary.
____________________– Two angles are vertical angles if and only if the sides of one angle
are opposite rays of the sides of the second angle.
Vertical angles:
a and c
b and d
*Vertical angles are congruent.
(Equal in measure, the same)
Linear Pair:
a and b
b and c
c and d
d and a
Exercises:
1) If an angle measures 45 degrees, its complement is __________.
2) If an angle measures 68 degrees, its supplement is __________.
3) If angle a and angle b are complementary, find the measure of each angle
if the measure of the two angles are: ma = x and mb = x − 40.
4) If angle a and angle b are supplementary, find the measure of each angle
if the measure of the two angles are: mb = x and ma = x + 80.
5) If AB and CD intersect at E, then the measure of angle AED is 70o. Find
the measure of angle CEB.
6) If AB and CD intersect at E, then the measure of angle AEC is 110o. Find
the measure of angle AED.
7) If MN and RS intersect at T, then the measure of angle MTR = 4x and the
measure of angle STN = 2x + 10. Find the measure of angle MTR, and the
measure of angle MTS.
8) Given BA is perpendicular to CD , the measure of angle CBE is 70o, find
the measure of angle ABE and the measure of angle ABD.
9) Using the picture below, find x.