Three angles meet at a point O. The angles are (2k + 10)°, (k + 20)°, and 150°. Find the value of the angle (2k + 10)°.
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Worked Solution
Step 1: Angles at a point sum to 360°.
(2k + 10) + (k + 20) + 150 = 360
Step 2: Collect like terms.
3k + 180 = 360
Step 3: Solve for k.
3k = 360 − 180 = 180
k = 60
Step 4: Find the required angle.
(2k + 10)° = 2(60) + 10 = 120 + 10 = 130°
Answer: 130°
Answer: 130°
Correct answer: 130°
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