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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: Level 2 Challenges

What is the sum of the 6 blue angles?

What is the measure of the blue angle in degrees?

In the figure above, four line segments $$AB, CD, EF, GH$$ intersect at a single point. Find the value (in degrees) of the angle sum $$x + y + w + z.$$

Note: $$\angle EFH = 55 ^ \circ$$, $$\angle ACD = 37 ^ \circ$$, and $$\angle GHF = 85 ^ \circ$$.

Is it possible to cut this obtuse triangle into pieces so that every piece is an acute triangle?

My failures so far ...

If $$\overline{AB}$$ is parallel to $$\overline{DE}$$, then what is the measure of angle $$BCD$$ in degrees?

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