The two angle bisectors of two intersecting straight lines are always at what angle to each other?
Answer and explanation
Correct answer: C. 90 degrees
- Step 1: Let the angle between two lines be 2 alpha, so adjacent supplementary angle is 180 - 2 alpha. Step 2. Bisectors are at alpha and 90 - alpha, so angle between bisectors is alpha + (90 - alpha) = 90 degrees. Answer: 90 degrees. Why not the others: 45 degrees is half a right angle; 60 degrees applies to equilateral geometry; 180 degrees represents opposite rays.
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