Angle Relationships
Find the Missing Angle
Triangle Sum Theorem
Quadrilateral Sum Theorem
Vocabulary
100
Two angles are corresponding. The measure of the first angles is 42 degrees, what is the measure of the second angle?
42 degrees
100
What is the complement of an angle that measures 12 degrees?
78 degrees
100
Is it possible to have two right angles in a triangle? Why or why not?
No, because two right angles add up to 180 degrees.
100
A rectangle has 4 angles. What is the total sum of these angles?
360 degrees
100
What type of triangle has two congruent sides?
Isosceles Triangle
200
If angle 1 and 2 are supplementary and the measure of angle 1 is 112, what is the measure of angle 2?
68 degrees
200
What is the supplement of an angle that measures 99 degrees?
81 degrees
200
In Triangle DEF, the measure of angle E is 30, angle F is a right angle, what is the measure of angle D?
60 degrees
200
A trapezoid has an angle of 129°, another angle of 51°, and another angle of 129°. What is the angle of the 4th angle?
51 degrees
200
What is the name of a triangle with three equal angles?
Equiangular Triangle
300
If angle 1 and 2 are both complementary, what is the measure of angle 1 if angle 2 measures 32 degrees?
58 degrees
300
An isosceles triangle has an angle of 90°. What are the angles of the other 2 angles?
45 and 45 degrees
300
Find angle x and angle y.
angle x = 113 and angle y = 67
300
A four-sided polygon has an angle of 40°, 80°, and 90°. What is the angle of the 4th angle?
150 degrees
300
What is the name of an angle that is 180 degrees.
Straight Angle
400
Angle A = 94°. Angle B is adjacent to angle A. What is the measure of angle B?
86 degrees
400
Angle d is 60°, what is the angle measure of angles e and f?
angle e = 60° and angle f = 120°
400
In Triangle MNO, if angle M is 3x, angle N is 2x+40, and angle I is x-20, what is the sum of the three angles?
180 degrees
400
Can a quadrilateral have 2 obtuse angles?
yes
400
What is the relationship of two angles that add up to 180?
Supplementary Angles
500
Name the four angle relationships that tell us the angles are congruent.
vertically opposite, corresponding angles, alternate interior angles, alternate exterior angles
500
Angle A and B are complementary. Angle A and Angle B are equal. What are the angle measures of both angles?
Angle A is 45 degrees. Angle B is 45 degrees.
500
X=5. In Triangle MNO, if angle M is (40 + X), angle N is (75 - X), what is the angle of angle O?
65 degrees
500
Find x
x = 105
500
What is a reflex angle?
Angle between 180° and 360°