1. Calculating Angles

2. 6MG2.2 Use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle.
Objective: Understand how to find the degree measure of an angle based on other angles.
Learning target: Answer at least 3 of the 4 angle questions correctly on the exit ticket.

3. How do we calculate the missing angle in a complementary pair?
What is x?
Set up an equation with the two angles adding to equal 90°
x + 29° = 90°
- 29° °
x = 61°

4. What is y?
y + 52° = 90°
- 52° -52°
y = 38°

5. How do we calculate the missing angle in a supplementary pair?
What is m?
Set up an equation with the two angles adding to equal 180°
m + 108° = 180°
- 108° °
m = 72°

6. What is v?
What is w?
v + 120° = 180°
- 120° °
v = 60°
w + 120° = 180°
w = 60°
This is not a coincidence! Either v or w could be used to complete a supplementary angle pair with the 120°, so they must be equal

7. What are vertical angles?
Two non-adjacent angles formed when two lines cross.
Vertical angles have the same degree measure.
 ∠v and  ∠w are vertical angles

8. Which are vertical angles?
Only ∠1 and ∠4 form a vertical angle pair because they are the only ones formed by 2 straight, intersecting lines.

9. What is t?
The t and 110° are vertical angles, so t is also 110°

10. What are x, y, and z?
The 44° and x are complementary angles, so
x + 44° = 90°
- 44° = -44° x = 46°
x and z are vertical, so z = 46°
x and y are supplementary, so
46 + y° = 180°
- 46° = -46° y = 134°

11. Direct Station
We will use whiteboards to work on problems combining all of the angle topics we have worked on so far: complementary, supplementary, vertical, and in triangles.

12. Collaborative Station
You and your partner will write mathematical sentences using this sentence frame:
An angle of ___ is ___________ with an angle of ___ because they __________________.
You will have lists of possible numbers/words to fill in the blanks.
Example: An angle of 35° is complementary with an angle of 45° because they add up to 90°.
Write down the full sentence.

13. Independent Station
You will continue ST Math’s unit on volume.