Four angles meet at point O. Angle AOB = p°, angle BOC = 130°, angle COD = p° and angle DOA = 80°. Find the value of p.
Show Worked Solution
Worked Solution
Step 1: Angles at a point sum to 360°.
Step 2: Write the equation: p + 130 + p + 80 = 360.
Step 3: Collect like terms: 2p + 210 = 360.
Step 4: Isolate 2p: 2p = 360 − 210 = 150.
Step 5: Solve: p = 150 ÷ 2 = 75.
Answer: 75°
Correct answer: 75°
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