Angle and Segment Addition

It is like regular addition!

What it is?

• Segment addition is adding (or subtracting) two (or more)segments

• If AB is 6, and AC is 18, what is AC?

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What it is?

• Angle addition is adding (or subtracting) two (or more) Angles

• If ∠ABC is a right angle• m∠ABD is 50o

• find m∠DBC.

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Variables (not scary!)

• If ∠ABC is a right angle• ∠ABD is (2x + 3)o

• m∠DBC is (x + 6)o

• solve for x

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How should we solve it?

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Solving it

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Example #1

• m∠1 = x Find x and find m 3• m∠2 = 2x – 10• m∠3 = 2x + 10

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Example #2

• ∠1 and ∠2 are supplementary• m∠1 = 10x + 30 Find x and find m 2• m∠2 = 3x + 7

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Example #3

• FG = 12x – 11• GH = 8x + 17.• Find FH if G is the midpoint.

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Example #4

• If m∠BVF = 7x – 1• m∠FVA = 6x + 12• Is AB VF⊥

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Example #5

• Is DB the bisector of ∠ADC • if m∠1 = 2x,• and m∠2 = 31• and m∠ADC = 5x - 14

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Example #6

• SV SR⊥ ,• m∠VST = 60o,• m∠RSU = 50o.• What is m∠2?

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