In triangle XYZ, the angle at X is 48° and the angle at Y is 75°. Find the size of ∠Z, the angle at vertex Z.
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Worked Solution
Step 1: Recall the rule — the three angles inside a triangle add up to 180°.
Step 2: Write the equation: 48° + 75° + ∠Z = 180°.
Step 3: Add the two known angles: 48° + 75° = 123°. Then ∠Z = 180° − 123° = 57°.
Final answer: ∠Z = 57°.
Answer: 57°
Correct answer: 57°
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