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The exterior angles of a triangle are in the ratio 3:4:5. What is the measure (in degrees) of the least interior angle of the triangle?

 Feb 16, 2021
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The exterior angles sum to 360

3 /(3+4+5) * 360 = 90

4/12 *360 =  120

5 / 12 * 360 =150

 

Interior and exterior angles are supplementary (they add to 180)

 

so the smallest interior will be     150 + 30 = 180          30 degrees

 Feb 16, 2021

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