Vocabulary
Complementary Angles add up to how many degrees?
90 degrees
Angle A and Angle B are complementary angles. Angle A is 35 degrees. How many degrees is Angle B?
55 degrees
Is it possible for a pair of supplementary angles to be congruent? Give an example.
Yes both angles would be 90o
What important fact do we know about vertical angles that assists us when solving for unknown angle measurements?
Vertical angles are congruent.
When two parallel lines are cut by a transversal, how many DIFFERENT angle measurements are formed?
Two, one set of acute angles and one set of obtuse angles.
What is the name of the relationship of two angles that add up to 180 degrees?
Supplementary Angles
What is the complement of an angle measuring 12 degrees?
78 degrees
Suppose <A = <B and <B is equal to 47 degrees. Find a measure of an angle that is supplementary to <A.
133 degrees
When two lines intersect, and they are not perpendicular, how many pairs of vertical angles are formed?
Two pairs, one pair of acute angles and one pair of obtuse angles.
<1 and <2 are alternate exterior angles.
If <1=75o, what is the measure of <2?
<2=75o
Angles that are formed by the intersection of two lines and are opposite the vertex from one another are called what?
Vertical Angles
*daily double*
Find the percent change and state whether the precent of change is increasing or decreasing.
Old Price: $45
Sale Price: $18
60 percent decrease
If m<3 = 115 and m<3 and m<4 form a linear pair, find m<4.
m<4 = 65 degrees
Angles 1 and 2 are vertical angles. If angle 2 is 101 degrees, how many degrees is angle 1?
101 degrees
<3 and <4 are corresponding angles. If <3= 168o , what is the measure of <4?
<4=168o
How many degrees are in a Triangle? In a Quadrilateral?
180 degrees; 360 degrees
Angles A and B are complementary. If m<A = 3x - 8 and m<B = 5x + 10, what is the measure of each angle?
x = 11, m<A = 25, m<B = 65
Angles Q and R are supplementary. If m<Q = 4x + 9 and m<R = 8x + 3, what is the measure of each angle?
x = 14, m<Q = 65, m<R = 115
Angles <1 and <2 are vertical angles. <1 measures 75 degrees and <2 is equal to x-18. Find the value of x.
x = 93
<M and <N are alternate interior angles. If the measurement of <M=3x and the measurement of <N=2x+5, what is the value of x?
x=5
Define corresponding angles.
Angles formed when two parallel lines are intersected by a transversal.
These angles have the same position along the parallel line and transversal.
They are congruent.
If m<A and m<B are complementary angles and m<A = 2x - 6, and m<B = 3x + 11, what is the measurements of m<A and m<B?
x = 17, m<A = 28, m<B = 62
Angles C and D are supplementary. If m<C = 12x and m<D = 4(x+5), find x. Then find m<C and m<D.
x = 10 ; m<C = 120 ; m<D = 60
Angles P and W are vertical angles. If angle P measures 4x + 4 and angle W measures 2x + 50, what is the value of x?
x = 24
<L and <K are same side interior angles. If <L=2x+45 and <K=3x+35, what are the measures of both angles?
2x+45+3x+35=180
x=20
<L=85 and <K=95