At a Tampines bus stop, three signpost arms extend outward from a single point on the top edge of the signboard, forming three angles along the straight top edge. Two of the angles are 48° and 67°. What is the size of the third angle, marked ∠a, in degrees?
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Worked Solution
Step 1: Recall the rule — angles on a straight line add up to 180°.
Step 2: Write the equation for the three angles meeting on the top edge of the signboard: ∠a + 48° + 67° = 180°.
Step 3: Add the two known angles: 48° + 67° = 115°.
Step 4: Subtract from 180°: ∠a = 180° − 115° = 65°.
Final answer: ∠a = 65°.
Answer: 65°
Correct answer: 65°
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