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Question

The outer angles of the triangle are in the ratio 4 : 5 : 6. Find the measure of the smallest angle.
  1. 96

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Solution

The correct option is A 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
4x=4×24=96°5x=5×24=120°6x=6×24=144°

Therefore, the measure of smallest angle is 96°.


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