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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.

# Angles and Lines - Problem Solving

In parallelogram $$ABCD$$, the green angle $$\angle ABC = 58 ^ \circ$$. What is the pink angle $$\angle ADC$$?

In the above diagram, line segment $$\overline{AB}$$ is parallel to line segment $$\overline{CD}.$$ If $$\alpha={70}^\circ$$ and $$\beta={28}^\circ,$$ then what is the angle $$\angle OCD ?$$

Given quadrilateral $$ABCD$$ where $$AB$$ is parallel to $$DC$$ and $$AC$$ and $$BD$$ intersect at $$E$$, with $$\angle BEC = 58 ^\circ$$ and $$\angle ACD = 31 ^\circ$$, what is $$\angle ABE$$ (in degrees)?

$$L_1$$ is parallel to $$L_2$$ and $$\alpha={54}^\circ,$$ $$\beta={84}^\circ$$ and $$\gamma={21}^\circ.$$ What is the angle $$\omega$$ in degrees?

Consider a 6 sided star that is formed from 2 triangles as above. What is the sum of the angles at A, B, C, D, E and F?

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