Difference between revisions of "2014 CEMC Gauss (Grade 8) Problems/Problem 4"
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Latest revision as of 11:28, 18 October 2025
Problem
In a right-angled triangle, the measure of one angle is 
. The measure of the smallest angle in this triangle is
Solution
Let 
be the measure of the measure of the acute angle that isn't given in the problem. Since the sum of the measurements of the acute angles in the interior of a right triangle is 
, we have:
Thus, 
.
is smaller than the measurement of the other acute angle, which is , so the answer is 
.
~anabel.disher
| 2014 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
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| CEMC Gauss (Grade 8) | ||
