In the figure, PQRS is a rectangle. Two rays QT and QU are drawn from corner Q into the rectangle, dividing the corner angle ∠PQR into three smaller angles. ∠PQT = 22° and ∠UQR = 35°. Find ∠TQU.
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Worked Solution
Step 1: Identify the corner angle. PQRS is a rectangle, so ∠PQR = 90°.
Step 2: The three angles ∠PQT, ∠TQU and ∠UQR together make up the corner angle ∠PQR.
22° + ∠TQU + 35° = 90°.
Step 3: Solve for ∠TQU.
∠TQU = 90° − 22° − 35° = 33°.
Answer: 33°
Correct answer: 33°
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