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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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1 4 7 82 3 5 6 Your Name Here
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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1 4 7 82 3 5 6 Your Name Here
Example #3
• FG = 12x – 11• GH = 8x + 17.• Find FH if G is the midpoint.
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1 4 7 82 3 5 6 Your Name Here
Example #4
• If m∠BVF = 7x – 1• m∠FVA = 6x + 12• Is AB VF⊥
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1 4 7 82 3 5 6 Your Name Here
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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1 4 7 82 3 5 6 Your Name Here
Example #6
• SV SR⊥ ,• m∠VST = 60o,• m∠RSU = 50o.• What is m∠2?
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1 4 7 82 3 5 6 Your Name Here