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The ratios of the measures of the angles in a triangle is 3:10:7. Find the measure of the smallest angle. Just write the numerical answer

PTS and PQR

The ratios of the measures of the angles in a triangle is 3:10:7. Find the measure-example-1
User Wpgreenway
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2 Answers

7 votes
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User Kalyan Raghu
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5 votes
Answer to written question:
3x + 10x + 7x = 180
Combine like terms
20x = 180
Divide by 20
x = 9
Smallest angle 3x = 3*9 = 27 degrees

Answer to question in picture:
30/6x-2 = 36/5x + 13
Cross multiply
30(5x + 13) = 36(6x-2)
Distribute
150x + 390 = 216x - 72
Subtract 150x
390 = 66x - 72
Add 72
462 = 66x
Divide by 66
x = 7
User Khalida
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3.2k points