Parallel Lines and Transversals
Angle 1 and 60 degrees are complementary. What is the measure of angle 1?
30 degrees
In a triangle, angle 1 is 50 degrees. Angle 2 is 55 degrees. What is angle 3?
75 degrees
What is the formula to find the sum of the interior angles of a polygon?
S = (n-2)x180
Explain how triangles are similar?
Triangles are similar if they have at least two congruent measure angles making the third angle measure congruent.
Evaluate 2xy + 3(x + y) when x=4 and y=7.
89
Angle 2 and 55 degrees are supplementary. What is the measure of angle 2?
125 degrees
In a triangle, angle 1 is 49 degrees. Angle 2 is 90 degrees. What is angle 3?
41 degrees
A 4 sided polygon has the following interior angle measures: 60, 128, 95, and x. What is the measure of x?
77 degrees
Tell and explain whether the triangles are similar.
First triangle has measures of: 90, 68, and x.
Second triangle has measures of: 90, 22, and y.
x=22, y=68
Yes, the triangles have the same angle measures of 90, 68, and 22 degrees.
Evaluate the expression when a=2 and b=6.
-8ab
-96
Angle 3 and angle 4 are congruent angles. Angle 6 and angle 7 are both 55 degrees while angle 4 is 35 degrees. What is angle 3?
35 degrees
[A triangle with an exterior line]
A triangle has two angles that are opposite of the exterior line. Those two angles are 75 degrees and 50 degrees. How do you find / what is the exterior angle that is opposite of the two interior angles?
= sum of 75 and 50 = 125 degrees
A 6 sided polygon has the following interior angle measures: x, 120, 130, 140, 125, and 92. What is the measure of x?
113 degrees
Tell and explain whether the triangles are similar.
First triangle has measures of: 100, 35, and x.
Second triangle has measures of: 50, 100, and y.
x=45, y=30
No, they are not similar because they only have one congruent measure of angles.
Evaluate the expression when a=2 and b=6.
16a2 - 4b
40
Angle 9 and angle 10 are vertical angles. If angle 9 is 77 degrees, what is angle 10?
77 degrees
[A triangle with an exterior line]
A triangle has two angles that are opposite of the exterior line. Those two angles are 110 degrees and 12 degrees. How do you find / what is the exterior angle that is opposite of the two interior angles?
= sum of 110 and 12 = 122 degrees
Explain how you find the measures of the exterior angles of any polygon?
Add all the exterior angles and set them = 360 degrees; then find x and plug it back in for the missing angle measures.
Tell and explain whether the triangles are similar.
First triangle has measures of: 90, 55, and x.
Second triangle has measures of: 90, 35, and y.
x=35, y=55
Yes, they have congruent angle measures for all three angles so they are similar.
Evaluate the expression when a=2 and b=6.
5b2 / 3a2
15
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90 degrees. Explain why.
They are all right angles because perpendicular lines form 90 degrees.
[A triangle with an exterior line]
A triangle has two angles that are opposite of the exterior line. Those two angles are (x + 10) degrees and (x) degrees. How do you find / what is the value of x when the exterior angle measure is 100 degrees?
= sum of (x + 10) and (x) = 100
2x + 10 = 100
2x = 90
x = 45 degrees
Find the measures of the exterior angles of the polygon.
A triangle has exterior angle measures of 135 degrees, 100 degrees, and x degrees. What is the value of x?
125 degrees
Explain what a regular polygon is?
In a regular polygon, all the sides are congruent, and all the interior angles are congruent.
Evaluate the expression when a=2 and b=6.
12a + (b - a - 4)
24