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Example#2: ML and MN are opposite rays. MT bisects <QMP. If m<4=42, m<1=70 and m<3=x+18, solve for x and m<3.
70+42+2(x+18)=180
112+2x+36=180
148+2x=180
2x=32
Answer: x=16    m<3=34

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Example#3: Find the coordinate of the midpoint of ST, if the endpoints are S(-2,1) and T(4, -6).

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Example#3: Find the coordinate of the midpoint of ST, if the endpoints are S(-2,1) and T(4, -6).

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m=(-2+4/2, 1+(-6)/2)
1 , -5/2
Answer: ST= (1,-2.5)

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Example#1: If C is between A and B, AC=2x+3, CB=6x-11, and AB=5x+19 solve for x and AB. Describe which property was used to solve the problem. 

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Example#1: If C is between A and B, AC=2x+3, CB=6x-11, and AB=5x+19 solve for x and AB. Describe which property was used to solve the problem. 

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2x+3+6x-11=5x+19
8x-8=5x+19
3x=27
Answer: x=9
Property: Segment Addition Postulate

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Two angles are supplementary if the sum of their measures is 180.

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Two angles are complementary angles if the sum of their measures is 90.

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Are two angles whose sides form two pairs of opposite rays.

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Is a pair of adjacent angles whose noncommon sides are opposite rays.

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Are two coplanar angles that have a common side and a common vertex but no common interior points.

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Is a ray that divides an angle into two congruent angles.

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Is the point that divides the segment into two congruent segments.

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Are the basic ideas that you can use to build the definitions of all other figures in geometry.