178k views
1 vote
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.

User Raffaella
by
9.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.