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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

Level 2

Hazri prepared another two pencils and he aligned them as shown in the diagram above.

The two pencils form an angle which is labelled $$y$$ ($$\angle ACD$$) in the diagram. If the angle of the pencil tip ($$\angle A$$) is $$40^\circ$$ and the angle of the pencil tip ($$\angle ECD$$) is $$30^\circ$$, then what is the value of $$y$$?

Find the value of $$x$$ in term $$a, b,$$ and $$c$$.

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

The picture above shows a square, an equilateral triangle and a regular pentagon. Find the blue angle in degrees.

Three line segments $$AD, BE, CF$$ intersect at a single point in the diagram above. Find the sum of the angles $$a+b+c+d+e+f$$ in degrees.

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