Vertical Angles
What are vertical angles?
two nonadjacent angles formed by intersecting lines
What do two complementary angles equal together?
90 degrees
What do two supplementary angles add up to?
180 degrees
What are adjacent angles?
Angles that share a common side and a common vertex
What are two angles that add up to 180 called
supplementary angles
True or false: vertical angles are always congruent
True, because the vertical angles theorem tells us they are always congruent
If one angle is 60 degrees, what is the measure of a complementary angle?
30 degrees
If one angle is 110 degrees, what is the measure of its supplementary angle?
70 degrees
True or false: adjacent angles are always congruent
False, because adjacent angles don't have to be congruent
If two lines intersect and create four angles, which angles are equal to each other?
vertical angles
If one vertical angle is 45 degrees, what is the measure of it's opposite vertical angle?
45 degrees
True or false. Complementary angles have to be adjacent
False, because they do not have to be adjacent to each other to be complementary angles
True or false: supplementary angles always form a straight line
True, because its 180 degrees so it would be flat
Adjacent angles that add up to 180 degrees are called what?
Linear pairs
what is the term for angles that are both adjacent and complementary?
right angle pairs
What is another name for vertical angles?
opposite angles
Yes
If two angles are supplementary and one angle is 90 degrees, what type of angles are they?
right angles
Two adjacent angles form a straight line. One angle is 2x + 10° and the other is 4x - 20°. What are the measures of both angles?
50 degrees and 130 degrees
If two angles are complementary, and one angle is x degrees and the other is 3x - 10 degrees, what is the value of x and the measures of the angles?
x = 25; the angles are 25° and 65°