samanthaaacruz samanthaaacruz

26-01-2017
Mathematics

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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?

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wizard123 wizard123

26-01-2017

4x+5x+6x = 180

15x = 180

x = 180/15 = 12

smallest angle = 4x = 4*12 = 48

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26-01-2017

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

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