Right Angles
The measure (in degrees) of a right angle
exactly 90 degrees
Vertical angles are always ___________.
congruent
Adjacent angles always add up to be _________.
180º
Complementary angles add up to be ______.
90º
Supplementary angles add up to be _________.
180º
The type of lines that form a right angle
perpendicular lines
If angle X and angle Y are vertical angles, and the measure of angle X is 60º, what is the measure of angle Y?
60º
Adjacent angles are also __________ angles.
supplementary
Two complementary angles will form a _______ angle.
right angle
Supplementary angles also form a __________.
a linear pair or a straight line (angle)
This special shape has only one right angle
triangle
If angle G and angle H are vertical angles, and the measure of angle G is 120º, what is the measure of angle H?
120º
If angle T and angle V are adjacent angles, and the measure of angle T is 40º, what is the measure of angle V?
140º
If angle T and angle V are complementary angles, and the measure of angle T is 40º, what is the measure of angle V?
50º
If angle T and angle V are supplementary angles, and the measure of angle T is 45º, what is the measure of angle V?
135º
This shape has four right angles and only opposite sides are congruent
rectangle
True or False: Vertical angles are formed by the intersection of two lines (the angles on opposite sides of the intersection).
True
If angle T and angle V are adjacent angles, and the measure of angle T is 60º, what is the measure of angle V?
120º
If angle A and angle B are complementary angles, and the measure of angle A is 35º, what is the measure of angle B?
55º
If angle K and angle L are supplementary angles, and the measure of angle L is 105º, what is the measure of angle K?
75º
This shape has four right angles and all sides are congruent
square
True or False: Vertical angles cannot form a linear pair.
False. They can form a linear pair. The measure of both angles would be 180º.
If angle T and angle V are adjacent angles, and the measure of angle T = (x)º measure of angle V = (2x)º Find the measure of angle V.
120º
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.
32º
x+5+2x+4=90
3x=81
x=27
C= 27+5 --> 32
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.
59º
3x+1+x+19=180
4x=160
x=40
C=40+19 --> 59