Geometry
# Angles and Lines

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 \(y\)?

(Assume the pencils have a rectangular body and have their tips resembling isosceles triangles)

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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