Vocabulary
Define Congruent Angles
Angles with equal measurements
Angle 1 and Angle 4
Vertical Angles/Congruent
Find the measure of ALL angles given that m<1= 95 degrees
m<2 = 85 degrees
m<3 = 85 degress
m<4 = 95 degrees
m<5 = 95 degrees
m<6 = 85 degrees
m<7 = 85 degrees
m<8 = 95 degrees
What is the sum of the interior angles of a triangle?
180 degrees
What is the relationship between an exterior angle and its remote interior angles in triangles?
The sum of the remote interior angles is equal to the exterior angle
Define Supplementary Angles
Angles with a sum of 180 degrees.
Angle 7 and Angle 5
Straight/Supplementary Angles
Find x.
Given that:
m<1= 8x+19
m<8 = 139 degrees
x = 15
In triangle ABC, m<A = 79 degrees and m<B = 82 degrees. What is the m<C?
m<C = 19 degrees
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Define Transversal
A line that intersects 2 or more parallel lines
Angle 2 and Angle 6
Corresponding Angles/Congruent
Find x.
Given that:
m<3 = 17x-45
m<7 = 108 degrees
x = 9
In triangle JKL, <J = 55 degrees, <K = x + 74, and <L = 54 degrees.
Solve for x.
x = -3
Solve for m<RST
m<RST = 102 degrees
Define Corresponding Angles
Angles that are in the same relative position.
Angle 4 and Angle 5
Alternate Interior Angles/Congruent
Find x and m<4.
Given that:
m<4 = 14x + 17
m<8 = 19x - 23
x = 8/ m<4 = 129 degrees
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Find x and m<EGH
x = 8 and m<EGH = 119 degrees
Define Alternate Interior Angles.
Angles that are between the parallel line and on opposite sides of the transversal/
Angle 3 and Angle 5
Same-Side Interior or Consecutive Angles/ Supplementary
Find x and m<3
Given that
m<3 = 11x - 29
m<5 = 5x + 17
x = 12 and m<3 = 103 degrees
In Triangle LMN, <L = 6x - 7, <M = 3x + 4, and <N = 9x - 15.
Solve for x and find the measure of the 3 angles.
x = 11
m<L = 59 degrees
m<M = 37 degrees
m<N = 84 degrees
Find x and m<WXY.
x = 15 and m<WXY = 78