Question

The angle between the altitudes of a parallelogram. through the same vertex of an obtuse angle of the parallelogram is 50°. Find the angles of the parallelogram

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Answer 1

In Quad. ABCD

CAB + ACD + CDE + DEA= 360°

CAB+ 90°+CDE + 90° = 360°

CAB+ CDE = 360° = 180°

D = 130°

A = D ( OPPOSITE SIDE OF PARALLEOGRAM)

NOW BD || AE (OPPOSITE SIDE OF PARRALEOGRAM)

D + E = 180°

130° + E = 180°

E = 180° - 130° = 50°

B = E = 50°

Answer 2

Step-by-step explanation:

angle A = angle C = 60°

angle D = angle B = 120°

Hope it helps you