PQRS is a parallelogram. Angle P = (3x + 10)° and angle Q = (2x + 20)°. Find the value of x.
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Worked Solution
Step 1: In a parallelogram, adjacent angles are supplementary (they add up to 180°).
Step 2: (3x + 10) + (2x + 20) = 180.
5x + 30 = 180.
5x = 150.
x = 30.
Step 3: Check: Angle P = 100°, Angle Q = 80°. 100 + 80 = 180. ✓
Answer: 30
Correct answer: 30
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