A geometric jewellery pendant is shaped like the parallelogram ABCD. The angle at vertex A, ∠DAB, measures 70°. What is the size of ∠BCD, the angle at vertex C (the vertex OPPOSITE to A)?
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Worked Solution
Step 1: Recall the property. In a parallelogram, OPPOSITE angles are equal.
∠A = ∠C and ∠B = ∠D.
Step 2: ∠DAB and ∠BCD are at opposite vertices (A and C), so they are opposite angles.
∠BCD = ∠DAB = 70°.
Check: consecutive angles add to 180°, so ∠B = 180° − 70° = 110°, and ∠D = 110°. Total = 70° + 110° + 70° + 110° = 360° ✓.
Final answer: ∠BCD = 70°.
Answer: 70°
Correct answer: 70°
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