If angle 1 is 95 degrees, what is the measurement of angle 2?
Angle 1 and angle 2 are supplementary, so the sum of those angles equals 180 degrees. Therefore, angle 2 is 180 - 95 = 85 degrees.
100
What are the two things you need to know in order to classify a triangle?
Its angle measures, and its side lengths.
100
A triangle has angle measures of 30 degrees, x degrees, and 90 degrees. What is x? (Therefore, what is the measure of the 2nd angle?)
x = 60 degrees
100
What do the sum of the angle measurements of a triangle always add up to?
180 degrees
200
What is the relationship between angles 1 and 4?
They are vertical angles
200
If angle 1 is 110 degrees, what is the measurement of angle 4?
Angle 1 and angle 4 are vertical angles, so they are congruent. So, if angle 1 is 110 degrees, then angle 4 is also 110 degrees.
200
If a triangle has no side lengths in common, and has angles of 10 degrees, 60 degrees, and 110 degrees, what type of triangle is it?
Obtuse Scalene
200
If a triangle has an angle measure of x for all three of its angles, what must be the angle measurement for all three of its angles?
x = 60 degrees
200
Look at page 507 in your text. Look at number 20. Find x, and provide the angle measurements of the three angles of that triangle.
x = 32 degrees, and the angle measurements are 20 degrees, 64 degrees, and 96 degrees
300
What is the relationship between angles 1 and 5?
They are corresponding angles.
300
If angle 2 is 30 degrees, what is the measurement of angle 8?
Angles 2 and 8 lie on the same straight line, and are supplementary, so if angle 2 is 30 degrees, then angle 8 is 180 - 30 = 150 degrees.
300
If a triangle has two sides in common, and has angle measurements of 45 degrees, 45 degrees, and 90 degrees, what type of triangle is it?
Right Isosceles
300
If a triangle has angle measurements of 50 degrees, x degrees, and 80 degrees, what is the measure of x? (Therefore, what is the measure of the 2nd angle?)
x = 50 degrees
300
Look at page 507 in your text. Look at number 23. Find x, and provide the angle measurements of the three angles of that triangle.
x = 55 degrees, so the angle measurements are 53 degrees, 55 degrees, and 72 degrees
400
What is the relationship between angles 1 and 8?
They are alternate exterior angles.
400
If angle 3 is 55 degrees, what is the measurement of angle 6?
Angle 3 and angle 6 are alternate interior angles, so they are congruent. Therefore, if angle 3 is 55 degrees, then angle 6 is also 55 degrees.
400
If a triangle has all sides alike, and has angle measurements of 60 degrees, 60 degrees, and 60 degrees, what type of triangle is it?
Acute Equilateral
400
A triangle has angle measurements of 20 degrees, 40 degrees, and x degrees. What is x? (Therefore, what is the measure of the third angle?)
x = 120 degrees
400
Turn to page 507 in your text book. Look at number 30. Find the measures of x and y in the figure.
x = 50 degrees, and y = 80 degrees
500
What is the relationship between angles 4 and 5?
They are alternate interior angles.
500
If angle 1 is 170 degrees, what is the measurement of angle 5?
Angle 1 and angle 5 are corresponding angles, so they are congruent. Therefore, if angle 1 is 170 degrees, then angle 5 is also 170 degrees.
500
If a triangle has no side lengths in common, and has angle measurements of 30 degrees, 80 degrees, and 70 degrees, what type of triangle is it?
Acute Scalene
500
A triangle has angle measurements of x degrees, 2x degrees, and 3x degrees. What is x? (Therefore, what are the measurements of all three angles)
x = 30, so the measurements of the angles are 30 degrees, 60 degrees, and 90 degrees.
500
How many pairs of supplementary angles exist in the figure provided?