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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. See more

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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