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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? A. 48 B. 60 C. 72 D. 12
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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?

A. 48
B. 60
C. 72
D. 12

User PQW
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1 Answer

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The sum of the interior angles of a triangle is 180 degrees

4x + 5x + 6x = 180
15x = 180
x = 180/15
x = 12

The measure of the smallest angle = 4x = 4*12 = 48°
User ATC
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