Four angles meet at a point O. The angles are (2m + 20)°, (m + 10)°, 3m°, and 90°. Find the value of the angle (2m + 20)°.
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Worked Solution
Step 1: All angles at a point sum to 360°.
(2m + 20) + (m + 10) + 3m + 90 = 360
Step 2: Collect like terms.
6m + 120 = 360
Step 3: Solve for m.
6m = 360 − 120 = 240
m = 40
Step 4: Find the required angle.
(2m + 20)° = 2(40) + 20 = 80 + 20 = 100°
Check: 100 + (40 + 10) + 3(40) + 90 = 100 + 50 + 120 + 90 = 360° ✓
Answer: 100°
Answer: 100°
Correct answer: 100°
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