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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.

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 \(A\) is \(40^\circ\) and the angle of the pencil tip \(ECD\) is \(30^\circ\), then what is the value of \(y\)?

Three squares are joined together as shown in figure to create a triangle.

What is the sum of angles \( \angle A + \angle B + \angle C \) ?

Note: We are referring to the "exterior angles", not the interior angles of the triangle.

In the figure above, \(ABC\) and \(CDE\) are equilateral triangles. Find \(\angle ADE\) in degrees.

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My failures so far ...

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