VOCABULARY / KEY CONCEPTS
A pair of angles that add up to 90º.
Complementary Angles
True or False:
A unique triangle will be created with the following conditions: angle measures of 35º, 65º, and 80º.
False
The complementary angle to an angle with 78º.
12º
The supplementary angle to an angle with 48º.
132º
The vertical angle to an angle with 65º.
65º
A pair of angles that when combined together, create a straight angle.
Supplementary Angles
The 3rd angle in a triangle with a 43º angle and a 67º angle.
70º
The measure of Angle A when Angle A and Angle B split a right angle, and Angle B is 35º.
55º
The measure of Angle B when Angle A and Angle B split a straight angle, and Angle A is 122º.
58º
SURPRISE SPACE!!! 🎉
Answer your teacher's question correctly to receive these points!
Yay!
Angle A is 70º and Angle B is also 70º. These angles are examples of _____ angles, because they are equal.
Vertical
The 3rd angle in a triangle with a 90º angle and two angles that are both xº.
45º
The measure of xº when Angle 1 is 4xº and Angle 2 is 5xº, and they are also complementary angles.
10º
The measure of xº when Angle A is 3xº and Angle B is 9xº, and they are also supplementary angles.
15º
No Triangles can be created if the angles inside don't add up to 180º. No triangles can be created if the 2 shorter sides don't add up to more than the 3rd-longest side. A _____ triangle can be created if you have 3 side lengths given that follow the rules. Many triangles can be created if you have 3 angles given that follow the rules.
The theorem that states:
When you add all 3 angles inside a triangle, the sum is always 180º.
Triangle Angle Sum Theorem
The measure of xº when the 3 angles in a triangle are 2xº, 3xº, and 7xº.
15º
The measure of xº when Angle 1 is 3x-6º and Angle 2 is 2x+12º, and they are also complementary angles.
16.8º
The measure of xº when Angle A is x+47º and Angle B is 6x-14º, and they are also supplementary angles.
21º
The measure of Angle S when told: Angle S and Angle T are vertical angles. Angle T (5x-23)º and Angle R (x+14)º are complementary.
59.5º
The theorem that states:
When you add the 2 shorter sides of a triangle, the sum must be greater than the 3rd, longest side.
Triangle Inequality Theorem
The measure of xº when the 3 angles in a triangle are x+5º, 2x-44º, and 5x+29º.
23.75º
The measure of Angle 2 when Angle 1 is 7x-40º and Angle 2 is 4x+9º, and they are also complementary angles.
53º
The measure of Angle A when Angle A is 5x-42º and Angle B is 3x+29º, and they are also supplementary angles.
78.625º
The measure of Angle M when told: Angle M and Angle N are vertical angles. Angle L (2x-29)º and Angle N (4x+2)º are supplementary.
140º