Three angles lie on a straight line. One angle is 48°. The remaining two angles are in the ratio 1 : 2 — that is, the larger angle is twice the smaller angle. Find the larger of the two unknown angles.
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Worked Solution
Step 1: Let the smaller unknown angle be q°. The larger is 2q° (twice the smaller).
Step 2: All angles on a straight line sum to 180°.
q + 48 + 2q = 180
Step 3: Collect like terms and solve.
3q + 48 = 180
3q = 132
q = 44
Step 4: Find the larger angle.
2q = 2 × 44 = 88°
Check: 44 + 48 + 88 = 180° ✓
Answer: 88°
Answer: 88°
Correct answer: 88°
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