Types of angle relationships
What is a complementary angle?
Angles that add up to 90 degrees, forming a right angle.
Alternate Exterior?
<1=<8 or <2=<7
The equation is 30+x=90 what's the relationship?
complementary
What is an angle whose degree measure is exactly 90?
a right angle
If angle T and angle V are supplementary angles, and the measure of angle T is 45º, ____ is the measure of angle V.
135 degrees
What is a supplementary angle?
Angles that add up to 180 degrees, forming a straight line.
Alternate interior?
<3=<6 or <4=<5
40+140=180 degrees show this angle shows what?
supplementary
What is an angle whose degrees measure is less than 90?
acute angle
If angle X and angle Y are vertical angles, and the measure of angle X is 60º, ___ is the measure of angle Y.
60 degrees
What is a linear pair?
When two adjacent angles are supplementary, meaning they add up to 180 degrees creating a straight line.
Consecutive interior
<3+<5=180 degrees
2x+6=3x shows two angles that are congruent because they are across from each other and this relationship
Vertical angles
What is an angle whose degree measure is greater than 90 and less than 180?
If angle T and angle V are adjacent angles, the measure of angle T = (x)º, the measure of angle V = (2x)º, and the measure of the full angle is 144º, ___ and ___ are the measures of angle T and angle V.
48 degrees and 96 degrees
What are vertical angles?
Pair of angles that are opposite each other when two lines intersect, they have the same measure and are formed by the same pair of intersecting lines.
Consecutive exterior?
<1+<7=180 degrees
This relationship describes two congruent angles that are on the different sides of the transversal and match up exactly by turning one around over the other.
Alt int or ext int
What is an angle whose degrees measure is exactly 180 and forms a straight line?
straight angle
If angle B and angle C are supplementary angles, the measure of angle B = (3x+1)º, and the measure of angle C= (x+19)º, ____ is the measure of angle C
59 degrees
What is reflexive property?
Any quantity is equal to itself.
Corresponding angles?
<1=<5 or <2=<6
What is an angle whose degree measure is greater than 180 and less than 360?
Reflex angle
what are angles that are next to each other called
adjacent
If angle C and angle D are complementary angles, the measure of angle C = (x+5)º, and the measure of angle D= (2x+4)º, ___ is the measure measure of angle C.
32 degrees