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**How do you put a baby astronaut to sleep?**

ROCKET SOLUTION How do you put a baby astronaut to sleep?

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**Adjacent angles on the same side of the line with a common vertex are Supplementary**

Write Formula A + B = 180 #1 Substitute in 116 + B = 180 Solve for “B” 116 + B = 180 = -116 B = 64

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**Adjacent angles on the same side of the line with a common vertex are Supplementary**

Write Formula A + B = 180 #2 Substitute in 78 + B = 180 Solve for “B” 78 + B = 180 = B =

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**Adjacent angles on the same side of the line with a common vertex are Supplementary**

Write Formula A + B = 180 #3 Substitute in 49 + B = 180 Solve for “B” 49 + B = 180 = B =

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**Adjacent angles on the same side of the line with a common vertex add up to 180.**

A Right Angle is 90o Degrees. Two Adjacent Angles that add up to 90o Degrees are Complementary. #4 Write Formula A + B = 90 Substitute in 31 + B = 90 Solve for “B” 31 + B = 90 = - 31 B = 59

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**Adjacent angles on the same side of the line with a common vertex add up to 180.**

A Right Angle is 90o Degrees. Two Adjacent Angles that add up to 90o Degrees are Complementary. #5 Write Formula A + B = 90 Substitute in 54 + B = 90 Solve for “B” 54 + B = 90 = - 54 B = 36

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**#6 A + B + C = 90 35 + 23 + C = 90 58 + C = 90 58 + C = 90 -58 = - 58**

Adjacent angles on the same side of the line with a common vertex add up to 180. A Right Angle is 90o Degrees. Angles A, B and C must add up to 90o . Write Formula #6 A + B + C = 90 Substitute in C = 90 C = 90 Combine Values Solve for “C” 58 + C = 90 = - 58 C =

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**#7 C = 118 Vertical Angles are Equal! . C**

IF A + B = 180 Then B + C must also = 180 C = 118: OPPOSITE Angles formed by two lines are EQUAL and are called VERTICAL ANGLES.

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**Adjacent angles on the same side of the line with a common vertex add up to 180.**

Two angles that add to 180o Degrees are Supplementary. Write Formula #8 A + B = 180 Substitute in B = 180 Solve for “B” 118 + B = 180 = B =

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**Adjacent angles on the same side of the line with a common vertex add up to 180.**

Two angles that add to 180o Degrees are Supplementary. Write Formula #9 A + B = 180 Substitute in 73 + B = 180 Solve for “B” 73 + B = 180 = B = 107

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**The INTERIOR ANGLES OF A TRIANGLE add up to 180.**

Write Formula #10 A + B + C = 180 Substitute in C = 180 Combine Terms 115 + C = 180 Solve for “C” 115 + C = 180 = C =

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**The INTERIOR ANGLES OF A TRIANGLE add up to 180.**

Write Formula #11 A + B + C = 180 A Substitute in C = 180 Combine Terms 142 + C = 180 Solve for “CB” 142 + C = 180 = C B C =

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**The INTERIOR ANGLES OF A TRIANGLE add up to 180.**

Write Formula #12 A + B + C = 180 Substitute in C = 180 Combine Terms 70 + C = 180 Solve for “C” 70 + C = 180 = C = 110

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**Angles on the same side of a Line are 180 Degrees**

The INTERIOR ANGLES OF A TRIANGLE add up to 180. Write Formula #13 A + B = 180 D Substitute in 140 + B = 180 B Solve for “B” 140 + B = 180 = C They did not ask for the 3rd angle of the Triangle, But : B + C + D 180 SO: D = 180 Therefore “D” must be 50 B =

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**Angles on the same side of a Line are 180 Degrees**

The INTERIOR ANGLES OF A TRIANGLE add up to 180. Write Formula #14 B A + B + C = 180 Substitute in C = 180 C = 180 C Combine Values A Solve for “C” 125 + C = 180 = Since “C” = 55, and angles on the Same side of the line are Supplementary, The “Missing angle” is: 55 + Q = 180 SO: ∴ Q = 125 C =

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**Angles on the same side of a Line are 180 Degrees**

The INTERIOR ANGLES OF A TRIANGLE add up to 180. Write Formula #14 A + B + C = 180 Substitute in C = 180 C = 180 Combine Values Solve for “C” 125 + C = 180 = Since “C” = 55, and angles on the Same side of the line are Supplementary, The “Missing angle” is: 55 + Q = 180 SO: Q = 125 C =

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**The INTERIOR ANGLES OF A TRIANGLE add up to 180.**

Write Formula #15 A + B + C = 180 Substitute in A = 180 A = 180 Combine Values A Solve for “C” A = 180 -125 = -125 Since “A” = 55, and angles on the Same side of the line are Supplementary, The “Missing angle” is: 55 + Q = 180 SO: Q = 125 A =

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**Vertical Angles are Equal: SO: A = 83**

The INTERIOR ANGLES OF A TRIANGLE add up to 180. Write Formula #14 A + B + C = 180 #16 Substitute in C = 180 A C = 180 Combine Values Solve for “C” 146 + C = 180 = -146 Since “C” = 55, and angles on the Same side of the line are Supplementary, The “Missing angle” is: 55 + Q = 180 SO: Q = 125 C =

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Section 1.6 Pairs of Angles

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