What are vertical angles?
These are the non-adjacent angles formed when two lines intersect
Complementary angles add up to be _____.
90∘
Supplementary angles add up to be _____.
180∘
Adjacent angles always add up to be ___________.
What is the measure of the full angle.
Draw corresponding angles, and what they equal.
“Same spot, same position” on the parallel lines. They equal each other.
Vertical angles are __________.
Congruent (equal)
The type of lines that form a right angle.
Perpendicular Lines
Two angles are supplementary. One angle measures 65∘. Find the measure of the other angle.
What is 115o
Adjacent angles can also be _____ or _____ angles.
What is complementary or supplementary
Draw Alternate interior Angles, and what they equal
Opposite sides of the transversal, inside the parallel lines. They are equal to each other.
Two lines intersect. One angle measures 50∘. Find the measure of the vertical angle opposite it.
50∘
Two angles are complementary. One angle measures 32∘. Find the measure of the other angle.
Angle = 58∘
If angle T and angle V are supplementary angles, and the measure of angle T is 45º, ____ is the measure of angle V.
What is 135º
Angle T and angle V are adjacent angles. The measure of angle T is 40º and the measure of angle V is 103º , ____ is the measure of the full angle?
What is 143o
Draw Alternate Exterior Angles, and what they equal
Opposite sides of the transversal line, outside the parallel lines. They equal each other.
Two lines intersect. One angle measures 3x+10∘ , and the vertical angle opposite it measures 2x+40∘. Find the value of x.
x = 30
Two angles are complementary. One angle measures 3x+10∘ and the other measures 2x+20∘. Find x.
x = 12
Two angles are supplementary. One angle measures 6x+10∘ and the other measures 4x+20∘. Find x.
x = 15
Two adjacent angles share a common side. One angle measures 3x+15∘ and the other measures 2x+25∘. Find x if the sum of the angles is 110∘
x = 14
Draw Same-Side Interior Angles, and what they equal.
Same side of the transversal line, inside the parallel lines. They are equal to 180o.
Two lines intersect. One angle measures 4x−15∘ , and its vertical angle measures 2x+25∘. Find x and the measure of the angles.
x = 20, Angles = 65∘
Two angles are complementary. One angle measures 4x+10 ∘ and the other measures 5x−20∘. Find x and the measures of both angles.
x = 12, Angle 1 = 56, Angle 2 = 34
Two angles are supplementary. One angle measures 8x+5∘ and the other measures 2x+25∘. Find x and the measures of both angles.
x = 15, Angle 1 = 125∘, Angle 2 = 55∘
Two adjacent angles share a common side. One angle measures 3x+20∘ and the other measures 2x+10∘. The sum of the angles is 120∘. Find x and the measure of each angle.
x = 18, Angle 1 = 74o, Angle 2 = 46o
Draw Same-Side Exterior Angles, and what they equal
Same side of the transversal and outside the parallel lines, = 180o