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GRE
GRE Quantitative Reasoning Section

Calculate Angle DAE in Triangle ABC

Very Hard Geometry Lines And Angles

Consider a triangle ABC where angle A measures $70^{ ext{o}}$. A line segment DE is drawn such that it is parallel to side BC and intersects side AB at point D and side AC at point E. If the length of DE is 18 cm and the lengths of AB and AC are 24 cm and 30 cm respectively, what is the measure of angle DAE?

Apply your knowledge of alternate interior angles and properties of triangles to find the angle.

Hint

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