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4.1 Lines, Angles, and Triangles - Angle relationships (parallel lines)
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The figure presents line segments A, D and B E intersecting at point C. Line segments A, B and D E together with line segments A, D and B E form two triangles, A, B C and C D E. In triangle A, B C, angle A, measures 20 degrees, angle B measures x degrees, and the measure of angle C is not given. In triangle C D E, angle D measures y degrees, angle E measures 40 degrees, and the measure of angle C is not given. Angle C of triangle A, B C appears to be congruent to angle C of triangle C D E. A note states that the figure is not drawn to scale.

In the figure above, line segment A, D intersects line segment B E at C. If x equals 100, what is the value of y ?

A.

100

B.

90

C.

80

D.

60