In parallelogram ABCD, angle ADC = (3x + 12)° and angle ABC = (x + 48)°. Find angle DAB.
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Worked Solution
Step 1: In a parallelogram, opposite angles are equal. Angles ADC and ABC are opposite, so 3x + 12 = x + 48.
Step 2: Solve for x: 3x − x = 48 − 12 → 2x = 36 → x = 18.
Step 3: Angle ABC = 18 + 48 = 66°.
Step 4: Angle DAB and angle ABC are co-interior (consecutive) angles, so they sum to 180°: angle DAB = 180° − 66° = 114°.
Answer: 114°
Correct answer: 114°
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