Three roads meet at a roundabout and form three angles on a straight line. Two of the angles measure 47° and 68°. What is the size of the third angle?
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Worked Solution
Step 1: Recall the angle property.
Angles on a straight line add up to 180°.
Step 2: Write an equation for the three angles.
47° + 68° + third angle = 180°
115° + third angle = 180°
Step 3: Solve for the third angle.
Third angle = 180° − 115°
Third angle = 65°
Step 4: Check.
47° + 68° + 65° = 180° ✓
Answer: The third angle is 65°.
Correct answer: 65°
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