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
β’ Find the measure of a complement and/or supplement of an angle
Reminder
β’ Complementary angles have measures that add to _______
β’ 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
πβ π¨+πβ π©=πππ π+ππ+π π βππ=ππ
πβ π¨+πβ π©=ππππ π+ππ+πππ+ππ=πππ
π=πππβ π¨=πππβ π©=ππ
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ANSWERS
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π=ππβ π¨=πππβ π©=ππ
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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
π
π+π π=ππ
π π
π π+π=πππ
π=πππβ π¨=πππβ π©=ππ
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ANSWERS
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yπβ πΏ=ππππβ π=ππ
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ANSWERS
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π π π
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
π
π+π πβππ=πππ π+π πβπ=ππ
π=ππ
Supplement=110
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x
ππππππππππππ=ππcomplement
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π πβππ π πβππ
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Example showing βless thanβWhich is 3 less than 10?
10-3 or 3-10
Where does β3 less thanβ 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.
π π (πππβπ )=π(ππβπ )CLICK HERE
ππβππππβ π
ππππππππππππ=ππComplement 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)β’ If you were ABLE to do example 7 in notes,
you can try #7 & 8 in homework.β’ If you were UNABLE to do example 7 in notes,
you MUST complete the table at the end of your notes.
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