ACT Math · Angles and polygons
An angle measuring 74° is bisected. What is the measure of each resulting angle?
An angle measuring 74° is bisected. What is the measure of each resulting angle?
Answer and explanation
Answer: B: 37°
To bisect an angle means to divide it into two congruent angles. Each resulting angle measures , choice B. Check: . Choice D () doubles the angle instead of halving it. Choice C () is the original angle, with nothing divided. Choice A () halves twice, which would divide the angle into four equal parts. Bisecting always splits an angle into two parts, so each part is half the original.
More Angles and polygons questions
- Question 63Two parallel lines are cut by a transversal. One angle formed measures 112°. What is the measure…
- Question 69What is the sum of the interior angles of a regular hexagon?
- Question 149What is the measure of each exterior angle of a regular octagon?
- Question 155A triangle's exterior angle is formed by extending one side. The two remote interior angles…
- Question 196Two angles are complementary. One angle is 5 times the measure of the other. What is the measure…
- Question 197Two lines intersect, forming vertical angles measuring 3x + 10 and 5x - 20. What is the value of x?
Learn the method behind questions like this one
The ACT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.