Answers to 3.1 Worksheet #16)

7)

8)

9)

Highlight ones you have questions about, and we will go over them tomorrow.

3.1 (Day 2) Complement & Supplement Word Problems

• Find the measure of a complement and/or supplement of an angle

Reminder

• Complementary angles have measures that add to _______

• Supplementary angles have measures that add to ________

90

180

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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=𝟗𝟎𝟒 𝒙+𝟑𝟎+𝟑 𝒙 −𝟏𝟎=𝟗𝟎

𝒎∠𝑨+𝒎∠𝑩=𝟏𝟖𝟎𝟔 𝒙+𝟓𝟓+𝟏𝟐𝒙+𝟑𝟓=𝟏𝟖𝟎

𝒙=𝟏𝟎𝒎∠𝑨=𝟕𝟎𝒎∠𝑩=𝟐𝟎

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𝒙=𝟓𝒎∠𝑨=𝟖𝟓𝒎∠𝑩=𝟗𝟓

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ANSWERS

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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

𝒙

𝒙+𝟓 𝒙=𝟗𝟎

𝟑 𝒚

𝟑 𝒚+𝒚=𝟏𝟖𝟎

𝒙=𝟏𝟓𝒎∠𝑨=𝟏𝟓𝒎∠𝑩=𝟕𝟓

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ANSWERS

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y𝒎∠𝑿=𝟏𝟑𝟓𝒎∠𝒀=𝟒𝟓

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ANSWERS

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𝟓 𝒙 𝒚

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+𝟐 𝒙−𝟑𝟎=𝟏𝟖𝟎 𝒙+𝟐 𝒙−𝟔=𝟗𝟎

𝒙=𝟕𝟎

Supplement=110

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x

𝒂𝒏𝒈𝒍𝒆𝒎𝒆𝒂𝒔𝒖𝒓𝒆=𝟑𝟐complement

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𝟐 𝒙−𝟑𝟎 𝟐 𝒙−𝟔𝒙

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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 7: Using Complements & SupplementsThree 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.

𝒙 𝟑 (𝟏𝟖𝟎−𝒙 )=𝟖(𝟗𝟎−𝒙 )CLICK HERE

𝟗𝟎−𝒙𝟏𝟖𝟎− 𝒙

𝒂𝒏𝒈𝒍𝒆𝒎𝒆𝒂𝒔𝒖𝒓𝒆=𝟑𝟔Complement Supplement

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How did you get that?

How did you get that?

80704

30155(9

170150

19074

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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.