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Pre-Algebra Module 4
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24. What is the measure of angle DBE?
98 degrees
23. What is the value of y?
y=49
22. What is the value of x?
x=66
21. find the measure of the indicated angle.
129 degrees
20. find the measure of the indicated angle.
80 degrees
19. state whether the given set of angles form a triangle: 47°, 84°, 56°
no
18. state whether the given set of angles form a triangle: 86°, 53°, 41
yes
17. What is the sum of a triangle's 3 interior angles?
B. 180 degrees
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
15. Which angle is corresponding to angle 6?
A. Angle 2
14. What are angle 3 and angle 6?
A. Alternate Interior Angles
13. What are angle 1 and angle 8?
D. Alternate Exterior Angles
12. What are angle 2 and angle 8?
C. Same-side Exterior Angles
11. What are angle 3 and angle 5?
B. Same-side Interior Angles
10. If angle 1 is 135 degrees, what would angle 3 be?
45 degrees
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
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
7. Using your answer from problem #5, what is the measure of angle 7? Remember, Angle 7 is (15x) degrees.
105 degrees
6. Using your answer from problem #5, what is the measure of angle 1? Remember Angle 1 = (5x+40) degrees.
75 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
4. Using your answer for x from problem #2. What is the value of the exterior angle in degrees?
141 degrees
3. Using your answer for x from problem #2. Give the value for Angle KJL (angle J).
64 degrees
2. Using the Exterior Angle Theorem to solve for x.
x=25
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