Geometry and TrigonometryEasy–MediumVertical angle with one expression
Geometry and Trigonometry practice question
Two straight lines intersect. One of the two vertical angles formed measures (3x)° and the other measures 75°. What is the value of x?
Answer: 25
Vertical angles are equal: 3x = 75, so x = 25.
Common wrong answers
- If you answered 35
- 35 comes from 3x + 75 = 180, treating the angles as supplementary; vertical angles are equal.
- If you answered 75
- 75 is the angle's measure, not x.
- If you answered 225
- 225 is 3 × 75, multiplying instead of dividing.
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- Easy–Medium
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What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
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