The Definition of a complementary angle
The definition of a supplementary angle
angles that sum up to 180 degrees
The definition of linear pairs
a pair of adjacent angles formed when two lines intersect.
The definition of verticle angles
Vertical angles are angles opposite each other where two lines cross.
what type of angle pair is this?
Verticle angle
Angles A and B are complementary angles. The measure of angle A is 5x−17, and The measure of Angle B is 3x−29. find the value of x.
x=17
Angles A, B, and C are supplementary. The measure of angle A is 5x+15. The measure of angle B is 2x+25. The measure for angle C is 2x+14. Find the value of x.
x=14
In the given figure, ∠AOC and ∠ BOC form a linear pair if x - y = 60°, find the value of x and y.

x = 120°
y = 60°
Is this a verticle angle?
No
what type of angle are these?
complementary angles
What is the measure of an angle complementary to an angle measuring 72 degrees?
18 degrees
Angles A and B are supplementary. The measure of angle A is 17x+20. The measure of Angle B is −2x+10. Find the value of x.
x=10
Identify the linear pair of angles from the given options.
a) ∠AOB and ∠AOC
b) ∠AOC and ∠COD
c) ∠AOC and ∠COB
d) ∠AOD and ∠DOC
c. ∠AOC and ∠COB
Name the angle vertical to ∠5.

∠3 is vertical to ∠5.
what type of angle?

Supplementary angle.
Angles A and B are complementary angles. The measure of angle A is 4x+25. The measure of angle B is 6x−15. Solve for x.
x=8
Angles A, B, and C are supplementary. The measure of angle A is 10x+4. The measure of angle B is 5x−6. The measure for angle C = 3x+2. What are the measure for the three angles?
AngleA=104 degrees
AngleB=44 degrees
AngleC=32 degrees
Which of the following options are satisfy the condition that POQ is a line?
a) ∠POQ + ∠POR = 180°
b) ∠POR + ∠ROQ = 360°
c) ∠POR – ∠ROQ = 180°
d) ∠POR + ∠ROQ = 180°
d) ∠POR + ∠ROQ = 180°
Which pairs are vertical angles?

∠1 and ∠3 as well as ∠2 and ∠4.
what type of angle?

supplementary angles
Angles A and B are complementary angles. The measure of angle A is −2x+50. The measure of angle B is 5x−20. What are the measures of the two angles?
AngleA=10 degrees
AngleB=80 degrees
If a set of angles are supplementary, what is the other angle if one angle is 101 degrees?
79
Find the value of k if ∠POQ and ∠POR form a linear pair.
a) 20°
b) 120°
c) 40°
d) 50°
a) 20°
Which angle has the same angle measure as ∠4?

∠4≅∠2.
what type of angle?

verticle angle