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the sum of the measures of the three angles in any triangle is 180 degrees the measure of the smallest angle of the CERN triangle is half the measure of the second angle the measure of the largest angle is 4 degrees more than eight times another measure of the smallest. Find the measure of each angle

User Supamaze
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2 Answers

5 votes
Median 32
Small 16
Large 132
132+32+16=180
m + m/2 + 8(m/2)+4=180
m+m/2+4m+4=180
5.5m+4=180
5.5m=176
m=32
OR s+2s+8s+4=180 11s=176 s=16
User Jorriss
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4 votes
I don't really know how to explain this but I know my answer is correct.

The smallest angle is 16
The medium size angle is 32
The largest angle is 132

If we let S, M, and L be variables, we can make the following equations
S = 1/2 M
M = 2 S
L = 8 S + 4
L + M + S = 180

If you plug in 16 for S, everything falls into place


User Chandan Sharma
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