1. What is the measure of angle ABE? (hint: find missing angle in each of the triangles. Then see what makes 180 degrees with the two angles).
98 degrees
2. Using the Exterior Angle Theorem to solve for x.
x=25
3. Using your answer for x from problem #2. Give the value for Angle KJL (angle J).
64 degrees
4. Using your answer for x from problem #2. What is the value of the exterior angle in degrees?
141 degrees
5. Angle 1 is (5x+40) degrees. Angle 7 is (15x) degrees. What is the value of x? (hint: what kind of angles are angle 1 and angle 7? Use this to help you solve for x)
x=7
6. Using your answer from problem #5, what is the measure of angle 1? Remember Angle 1 = (5x+40) degrees.
75 degrees
7. Using your answer from problem #5, what is the measure of angle 7? Remember, Angle 7 is (15x) degrees.
105 degrees
8. Which statement about Triangle ABC and Triangle XYZ is true? (hint: find missing angle measure in each triangle!)
B The triangles are not similar because only angles Y and B are congruent
9. What is the measure of angle E? (hint 1: angle E and angle F are remote interior angles) (hint 2: once you solve for x, plug that value into 4x to get your answer)
Angle E= 100 degrees
10. If angle 1 is 135 degrees, what would angle 3 be?
45 degrees
11. What are angle 3 and angle 5?
B. Same-side Interior Angles
12. What are angle 2 and angle 8?
C. Same-side Exterior Angles
13. What are angle 1 and angle 8?
D. Alternate Exterior Angles
14. What are angle 3 and angle 6?
A. Alternate Interior Angles
15. Which angle is corresponding to angle 6?
A. Angle 2
16. Triangle 1 and 2 have the angle measures as shown. Which statement is correct about triangle 1 and triangle 2? (hint: find missing angles, then compare the angles)
A. The triangles are similar because corresponding angles are congruent
