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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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