Bunuel wrote:
The ratio of the degree measures of the angles of a triangle is 2:3:4. Which of the following is the sum of the degree measures of the smallest and largest angles?
A) 40°
B) 80°
C) 100°
D) 120°
E) 140°
Let the measure of angles of the triangle is 2k, 3k and 4k degrees where 2k and 4k are the the measure of smallest and largest angle respectively.
we have asked to find out the measure of 2k+4k=6k
Now we have 2k+3k+4k=180 deg
or, 9k=180
or, k=\(\frac{180}{9}\)=20 deg
So the desired measure=6k=6*20=120 deg.
Hence, the option (D) is the correct answer.
_________________
Regards,
PKN
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