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The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?

The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?
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2 votes
The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?

User Kristof Mols
by
8.1k points

2 Answers

5 votes
4x + 5x + 6x = 180
15x = 180
x = 12
angle 1 = 4(12) = 48 degrees
angle 2 = 5(12) = 60 degrees
angle 3 = 6(12) = 72 degrees
User Daniel Slater
by
8.5k points
3 votes
4x+5x+6x = 180

15x = 180

x = 180/15 = 12

smallest angle = 4x = 4*12 = 48
User TomFuertes
by
8.7k points
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