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Question

The outer angles of the triangle are in the ratio 4:5:6. Find the measures of the smallest angle.


A

106°

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B

96°

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C

144°

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D

120°

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Solution

The correct option is B

96°


Let the angles be 4x, 5x and 6x.

The sum of the outer angles of the triangle is 360°.

4x+5x+6x=360°

15x=360°

x=24°

Hence the measure of the angles are:
4×24=96°, 5×24=120°,6×24=144°.

Hence the smaller angle is 96.


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