Teamwork Questions and Answers
Name
Team Mastery
Use Diagram 1 to answer questions 1 and 2.
1) Find the measures of x, y, and z.
2) Find the value of m.
Use Diagram 2 to answer questions 3 and 4.
3) Find the measures of angles a, b, and c.
4) How did the Triangle Angle Sum Theorem
help you find the missing measures?
PowerTeaching Math 3rd Edition
© 2014 Success for All Foundation
Level 8 Unit 6 Cycle 1 Lesson 4
Teamwork Questions and Answers
1
Use Diagram 3 to answer questions 5 and 6.
5) Find the measures of x, y, and z.
6) What angle pairs helped you find the
missing measures?
PowerTeaching Math 3rd Edition
© 2014 Success for All Foundation
Level 8 Unit 6 Cycle 1 Lesson 4
Teamwork Questions and Answers
2
Use Diagram 4 to answer questions 7 and 8.
7) Find the measures of a, b, and c.
8) How did the Triangle Angle Sum Theorem help you find the missing measures?
PowerTeaching Math 3rd Edition
© 2014 Success for All Foundation
Level 8 Unit 6 Cycle 1 Lesson 2
Teamwork Questions and Answers
3
Challenge
9) Draw your own Triangle Angle Sum and/or parallel line angle puzzle. Be sure to label just enough
angles with measures so that the missing angles can be found. Trade your puzzle with your neighbor
and discuss how the Triangle Angle Sum and the special angle pairs formed by transversals and
parallel lines helped you find the missing angles.
PowerTeaching Math 3rd Edition
© 2014 Success for All Foundation
Level 8 Unit 6 Cycle 1 Lesson 2
Teamwork Questions and Answers
4
Team Mastery Answer Sheet
1) ∠x = 44.22°, ∠y = 45.78°, ∠z = 90°
2) m = 19.4
3) ∠a = 67°, ∠b = 113°, ∠c = 49°
4) Possible answer: The Triangle Angle Sum Theorem helped me find the missing measures of the
angles because I knew the sum of the measures of the interior angles on the triangles in the images
would be 180 degrees. I was able to subtract the given angles from 180 degrees to find the missing
measures. I could use the theorem as my tool (TLM practice #5) because this figure makes a triangle.
5) ∠x = 46.14°, ∠y = 59.23°, ∠z = 74.63°
6) Possible answer: Vertical angles and corresponding angle pairs helped me find the missing
measures. I know that when two lines intersect, the vertical angles, such as ∠x and the angle that
measures 46.14°, are congruent. I also know that when parallel lines are cut by a transversal, the
corresponding angles are congruent. So, I figured ∠x’s corresponding angle was 46.14°. Then I
could find ∠z by adding 46.14 and 59.23 and subtracting that sum from 180. Finally I found the
measure of ∠y using the Triangle Angle Sum Theorem. I could use the theorem as my tool (TLM
practice #5) because this figure makes a triangle.
7) ∠a = 65°, ∠b = 25°, ∠c = 90°
8) Possible answer: The Triangle Angle Sum Theorem helped me find the missing measures because I
knew the sum of the measures of the interior angles on the triangles in the images would be 180
degrees. I quickly found the measure of .∠a and ∠b using the Triangle Angle Sum Theorem. Finally,
I found ∠c because I know the measures of ∠c, ∠b, and the angle that measures 65° all add to a
total measure of 180°, so it was easy to find the final measure for ∠c. I could use the theorem as my
tool (TLM practice #5) because this figure makes a triangle.
9) Accept all possible images as long as it is possible to find the missing measures using the
given information.
PowerTeaching Math 3rd Edition
© 2014 Success for All Foundation
Level 8 Unit 6 Cycle 1 Lesson 2
Teamwork Questions and Answers
5