1. Answers to 3.1 Worksheet #1 6) 7) 8) 9)
Highlight ones you have questions about,
and we will go over them tomorrow.

2. 3.1 (Day 2) Complement & Supplement Word Problems
Find the measure of a complement and/or supplement of an angle

3. Reminder
Complementary angles have measures that add to _______
Supplementary angles have measures that add to ________
90°
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180°
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4. Ex 1: Complements Ex 2: Supplements
Directions: For each example below, write an equation showing the relationship between the angles. Then solve the equation to find the value of x and the measure of each angle.
Ex 1: Complements Ex 2: Supplements
𝒎∠𝑨 𝒎∠𝑩=𝟗𝟎
𝒎∠𝑨 𝒎∠𝑩=𝟏𝟖𝟎
𝟒𝒙+𝟑𝟎+𝟑𝒙−𝟏𝟎=𝟗𝟎
CLICK HERE
CLICK HERE
𝟔𝒙+𝟓𝟓+𝟏𝟐𝒙+𝟑𝟓=𝟏𝟖𝟎
CLICK HERE FOR ANSWERS
𝒙=𝟏𝟎
CLICK HERE FOR ANSWERS
𝒙=𝟓
𝒎∠𝑨=𝟕𝟎
𝒎∠𝑨=𝟖𝟓
𝒎∠𝑩=𝟐𝟎
𝒎∠𝑩=𝟗𝟓

5. Ex 3: Complements Ex 4: Supplements
Directions: For each example below, write an equation showing the relationship between the angles. Then solve the equation to find the value of x and the measure of each angle.
Ex 3: Complements Ex 4: Supplements 𝟑𝒚 𝒙 𝒚 𝟓𝒙
CLICK HERE
𝟑𝒚+𝒚=𝟏𝟖𝟎
CLICK HERE
𝒙+𝟓𝒙=𝟗𝟎
CLICK HERE FOR ANSWERS
y=𝟒𝟓
CLICK HERE FOR ANSWERS
𝒙=𝟏𝟓
𝒎∠𝑿=𝟏𝟑𝟓
𝒎∠𝑨=𝟏𝟓
𝒎∠𝒀=𝟒𝟓
𝒎∠𝑩=𝟕𝟓

6. Ex 5: Supplements Ex 6: Complements
Example showing “less than”
Which is 3 less than 10?
10-3 or 3-10
Where does “3 less than” go in an expression?
Directions: For each example below, write an equation showing the relationship between the angles. Then solve the equation to find the value of x and the measure of each angle.
Ex 5: Supplements Ex 6: Complements 𝒙 𝒙
𝟐𝒙−𝟔
𝟐𝒙−𝟑𝟎
𝒙+𝟐𝒙−𝟔=𝟗𝟎
CLICK HERE
CLICK HERE
𝒙+𝟐𝒙−𝟑𝟎=𝟏𝟖𝟎
CLICK HERE FOR ANSWERS
CLICK HERE FOR ANSWERS
x=𝟑𝟐
𝒙=𝟕𝟎
𝒂𝒏𝒈𝒍𝒆 𝒎𝒆𝒂𝒔𝒖𝒓𝒆=𝟑𝟐
𝒂𝒏𝒈𝒍𝒆 𝒎𝒆𝒂𝒔𝒖𝒓𝒆=𝟕𝟎
Supplement=110
complement=𝟓𝟖

7. Ex 7: Using Complements & Supplements
Directions: For each example below, write an equation showing the relationship between the angles. Then solve the equation to find the value of x and the measure of each angle.
Ex 7: Using Complements & Supplements
Three times the measure of the supplement of an angle is equal to eight times the measure of its complement. Find the angle, its complement, and its supplement.
𝟑 𝟏𝟖𝟎−𝒙 =𝟖(𝟗𝟎−𝒙) 𝒙
CLICK HERE
𝟗𝟎−𝒙
CLICK HERE FOR ANSWERS
𝒂𝒏𝒈𝒍𝒆 𝒎𝒆𝒂𝒔𝒖𝒓𝒆=𝟑𝟔
𝟏𝟖𝟎−𝒙
Complement =𝟓𝟒
Supplement =𝟏𝟒𝟒

8. 80° 170° 70° 150° 4𝟓° 1𝟐𝟎° 30° 90° 15° 7𝟎° 5° 4𝟎° (9𝟎−𝐱)° (18𝟎−𝐱)°
How did you get that?
How did you get that?
80°
170°
CLICK HERE
CLICK HERE
70°
150°
CLICK HERE
CLICK HERE
4𝟓°
1𝟐𝟎°
CLICK HERE
CLICK HERE
30°
90°
CLICK HERE
CLICK HERE
15°
7𝟎°
CLICK HERE
CLICK HERE 5°
4𝟎°
CLICK HERE
CLICK HERE
(9𝟎−𝐱)°
(18𝟎−𝐱)°
CLICK HERE
CLICK HERE

9. Assignment 3.1 Worksheet #2 (1-6)
If you were ABLE to do example 7 in notes, you can try #7 & 8 in homework.
If you were UNABLE to do example 7 in notes, you MUST complete the table at the end of your notes.