Standard Mathematics Primary 5 Geometry

ABCD is a parallelogram. ∠DAB = 65°. Find ∠ABC.

A 115°
B 65°
C 25°
D 105°
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Worked Solution

In a parallelogram, opposite sides are parallel. So AD is parallel to BC. The adjacent angles in a parallelogram between parallel lines add up to 180°. ∠ABC + ∠DAB = 180°. ∠ABC = 180° - 65° = 115°. Key formula: Adjacent angles in a parallelogram sum to 180°. Answer: 115°

Correct answer: 115°

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