Geometry and TrigonometryVery hardCo-interior angles on parallel lines
Geometry and Trigonometry practice question
Two parallel lines are cut by a transversal. Two interior angles on the same side of the transversal measure (3x + 10)° and (2x − 5)°. What is the value of x?
Answer: 35
Co-interior angles on parallel lines are supplementary: 3x + 10 + 2x − 5 = 180 → 5x = 175 → x = 35.
Common wrong answers
- If you answered 15
- 15 comes from setting the angles equal, which is the rule for alternate angles, not co-interior ones.
- If you answered 37
- 37 comes from 5x − 5 = 180.
- If you answered 70
- 70 is 2x.
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