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# Angles and Lines

Forgive us for being obtuse, but this is a cute concept, and we think it’s right for you.

# Basic Angle Chasing

Line segments $$\overline{AB}$$ and $$\overline{CD}$$ intersect at point $$O.$$ If $$\color{purple}{\angle AOC}+\color{red}{\angle BOD}=78 ^\circ,$$ what is the measure (in degrees) of $$\color{green}{\angle AOD}?$$

Three line segments $$\overline{AB},$$ $$\overline{CD}$$ and $$\overline{EO}$$ intersect at point $$O.$$ If the blue angle $$\color{blue}{\angle BOC = 139^\circ}$$, what is the measure of the yellow angle?

Given that $$\overline{AB}$$ is a straight line, what is $$x$$?

In the above diagram, the purple angle at $$\color{purple}{C}$$ equals $$\color{purple}{ 147}^\circ$$ and the blue angle at $$\color{blue}{B}$$ equals $$\color{blue} {123} ^ \circ$$. What is the measure of the green angle at $$\color{green}{A}$$?

Note: The diagram is not drawn to scale.

In the above diagram, line segments $$\overline{AB}$$ and $$\overline{CD}$$ intersect at point $$E.$$ If $$\angle AED={52}^\circ,$$ what is the measure of $$\angle CEB$$ in degrees?

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