Geometry and TrigonometryEasyVertical angles at a crossing
Geometry and Trigonometry practice question
Two straight roads cross. One of the four angles formed at the crossing measures 35°. What are the measures of the other three angles?
- A. 35°, 145°, and 145°Correct
- B. 35°, 35°, and 35°
- C. 145°, 145°, and 145°
- D. 55°, 125°, and 125°
Answer: A. 35°, 145°, and 145°
The angle opposite the 35° angle is also 35° (vertical angles); the two remaining angles are each 180 − 35 = 145°.
Why the other answers are wrong
- B. 35°, 35°, and 35°
- Only the opposite angle equals 35°; the adjacent angles are supplementary to it.
- C. 145°, 145°, and 145°
- The opposite angle must equal 35°, not 145°.
- D. 55°, 125°, and 125°
- 55° is the complement of 35°, but angles on a straight line are supplementary.
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