Three angles are formed on a straight line. Their measures are 2x°, 3x° and 25°. Find the value of x.
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Worked Solution
Step 1: Angles on a straight line sum to 180°.
Step 2: Write the equation: 2x + 3x + 25 = 180.
Step 3: Combine like terms: 5x + 25 = 180.
Step 4: Subtract 25 from both sides: 5x = 155.
Step 5: Divide both sides by 5: x = 31.
Step 6: Verify: 2(31) + 3(31) + 25 = 62 + 93 + 25 = 180. ✓
Answer: x = 31.
Correct answer: 31
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