Question 846840: Which could be the angle measures of two angles in an acute triangle?
A. 10 degrees and 20 degrees
B. 30 degrees and 30 degrees
C. 30 degrees and 60 degrees
D. 40 degrees and 60 degrees
I am confused on what to do. I thought the answer was B, but it is wrong.I am correcting my test that I got a D on. :'(
Thanks,
Brooke :)
Answer by reviewermath(1029)   (Show Source):
You can put this solution on YOUR website! Question:
Which could be the angle measures of two angles in an acute triangle?
A. 10 degrees and 20 degrees
B. 30 degrees and 30 degrees
C. 30 degrees and 60 degrees
D. 40 degrees and 60 degrees
Solution:
We use the fact that the sum of the interior angles in a triangle is 180 degrees.
In A, the measure of the remaining angle is equal to 180 - (10 + 20) = 150 degrees (obtuse angle).
In B, the measure of the remaining angle is equal to 180 - (30 + 30) = 120 degrees (obtuse angle).
In C, the measure of the remaining angle is equal to 180 - (30 + 60) = 90 degrees (right angle).
In D, the measure of the remaining angle is equal to 180 - (40 + 60) = 80 degrees (acute angle).
Therefore, the answer is letter D.
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