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The exterior angles of a triangle are in the ratio \(3:5:7\). What is the measure (in degrees) of the least interior angle of the triangle?

 May 3, 2022
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We know that the exterior angles of the triangle add to 360. 

 

 \(3 + 5 + 7 = 15\). This means that 1 is \(360 \div 15 = 24\)

 

The smallest interior angle is supplementary to the largest exterior angle. 

 

The largest exterior angle is \(24 \times 7 = 168\)

 

Can you find the interior angle now?

 May 3, 2022

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