Geometry and TrigonometryHardAngle between a perpendicular and a parallel line
Geometry and Trigonometry practice question
Lines l and m are parallel. A third line crosses both, making an acute angle of 35° with line l. A fourth line, perpendicular to the third line, also crosses line m. What is the measure, in degrees, of the acute angle between the fourth line and line m?
Answer: 55
The third line makes 35° with m as well, since l and m are parallel. The fourth line is at 90° to the third, so its acute angle with m is 90 − 35 = 55.
Common wrong answers
- If you answered 35
- 35 is the third line's angle with m.
- If you answered 90
- 90 is the angle between the third and fourth lines.
- If you answered 145
- 145 is the obtuse angle.
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