Show:
Right Angles
Vertical Angles
Adjacent Angles
Complementary Angles
Supplementary Angles
100
The measure (in degrees) of a right angle
What is 90 degrees
100
Vertical angles are always ___________.
What is congruent?
100

Adjacent angles always share this point _________.

What is a vertex?

100
Complementary angles add up to be ______.
What is 90º?
100
Supplementary angles add up to be _________.
What is 180º?
200
The type of lines that form a right angle
What are perpendicular lines?
200
If angle X and angle Y are vertical angles, and the measure of angle X is 60º, what is the measure of angle Y?
What is 60º?
200

Adjacent angles must share one of these.

What is ray or side?

200
Two complementary angles will form a _______ angle.
What is a right angle?
200
Supplementary angles also form a __________.
What is a linear pair or a straight line or a line segment?
300
This special shape has only one right angle
What is a triangle?
300
If angle G and angle H are vertical angles, and the measure of angle G is 120º, what is the measure of angle H?
What is 120º?
300

This is the special name for adjacent angles that form a straight line.

What is linear pair?

300
If angle T and angle V are complementary angles, and the measure of angle T is 40º, what is the measure of angle V?
What is 50º?
300
If angle T and angle V are supplementary angles, and the measure of angle T is 45º, what is the measure of angle V?
What is 135º?
400

Two angles are adjacent and congruent. Must they form a right angle? Explain your reasoning.

What is no? They could be any equal measure, not necessarily 90 degrees?

400
True or False: Vertical angles are formed by the intersection of two lines (the angles on opposite sides of the intersection).
What is true?
400

All linear pairs are adjacent angles, but not all adjacent angles are of this type.

What is a linear pairs?

400
If angle A and angle B are complementary angles, and the measure of angle A is 35º, what is the measure of angle B?
What is 55º?
400
If angle K and angle L are supplementary angles, and the measure of angle L is 105º, what is the measure of angle K?
What is 75º?
500

A transversal intersects two parallel lines. One angle is 90 degrees. This must be true of all corresponding angles.

What are they all equal to 90 degrees?

500
True or False: Vertical angles cannot form a linear pair.
What is false? They can form a linear pair. The measure of both angles would be 180º.
500

Based on this, adjacent angles can be complementary, supplementary, or neither.

What are their measures?

500
If angle C and angle D are complementary angles, and the measure of angle C = (x+5)º measure of angle D= (2x+4)º Find the measure of angle C.
What is 32º ? x+5+2x+4=90 3x=81 x=27 C= 27+5 --> 32
500
If angle B and angle C are supplementary angles, and the measure of angle B = (3x+1)º measure of angle C= (x+19)º Find the measure of angle C.
What is 59º? 3x+1+x+19=180 4x=160 x=40 C=40+19 --> 59