Vertical angles
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
42
Two angles that sum to 180 degrees.
Supplementary
What is the sum of the interior angles of a triangle?
180 degrees
What is Exterior Angle Theorem?
What is the sum of the interior angles of a hexagon?
720 degrees
Complementary Angles
Two angles whose measures add up to 90
What is the relationship between angles 3 and 6 ?
Alternate Interior Angles.
One way to prove that lines are parallel lines is through understanding that corresponding angles are
Congruent
What is the value of angle T?
T = 71
What is the m∠ x
m∠x= 149
What is the measure of an interior angle of a regular pentagon?
108 degrees
Adjacent Angles
Angles that share a vertex and a ray, but no interior points
If the measure of angle 4 is 112, what is the measure of angle 6?
68
If an angle measures 135 degrees, what is the measure of its supplement?
45 degrees
Find the value of ∠ x if <C = 72
∠ x = 70
Find y:
y=10
Triangle ABC has 2 angles measures: 41 degrees and 74 degrees
Triangle DEF has 2 angle measures: 41 degrees and 65 degrees
Are the triangles similar?
Yes
Alternate Exterior Angles.
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal.
What is the relationship between angles 5 and 8?
Vertical Angles.
If the measure of angle 2 is 30 degrees, what is the measure of angle 6?
30.
What is the value of ∠ a?
∠ a = 87
Find m<ABC
68 degrees
Triangle ABC has 2 angles measures: 32 degrees and 68 degrees
Triangle DEF has 2 angle measures: 32 degrees and 81 degrees
Are the triangles similar?
No
Alternate interior angles
If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines but on opposite sides of the transversal.
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
What is 37 and Alternate Exterior.
Given that a || m, measure of angle 5=98°, then the measures of angles 3 and 4 are:
Angle 3 =82 degrees and angle 4= 98 degrees
Find the missing angle measure:
75
Find m<C :
85
The interior angles of a regular polygon each measure 144°. How many sides does the polygon have?
10 sides