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 74∘2=37∘\frac{74^\circ}{2}=37^\circ, choice B. Check: 37∘+37∘=74∘37^\circ+37^\circ=74^\circ. Choice D (148∘148^\circ) doubles the angle instead of halving it. Choice C (74∘74^\circ) is the original angle, with nothing divided. Choice A (18.5∘18.5^\circ) 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.

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