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One angle measure in an acute triangle is 38°. What could the measure of one of the other angles be?

69°
95°
50°
27°

1 Answer

5 votes

Answer: 69 degrees

Step-by-step explanation: 95 degrees cannot be an answer because an angle more than 90 degrees is an obtuse angle. 27 degrees cannot be the answer either because 27+38=65 degrees. The third angle has to be 115 degrees because 180-65=115. 115 degrees is an obtuse angle. For the 50 degree angle, it cannot be correct. 50+38=88 degrees. 180-88=92. 92 degrees is an obtuse angle. 69 degrees is the correct answer because 69+38=107. 180-107=73. The angles of this triangle are 38, 69, and 73. All three angles are below 90 degrees, which means they are all acute angles.

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