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the exterior angles of a triangle have measures of (x+10) degrees, (2x+20) and 3x degrees. what is the measure of the smallest interior angle of the triangle ...?

Answer :

MissPhiladelphia
The sum of exterior angles of any polygon will always equate to 360 degrees. Therefore, we can write:

360 = (x+10)  +  (2x+20) + 3x 

Solving for x,

x = 55

The exterior angles will have values of 65, 130 and 165. The exterior that will have the largest value will correspond to the smallest interior angle and will have a value of 15 degrees.
Scorpiovines

Answer: X= 55

Step-by-step explanation:

The sum of exterior angles of any polygon will always equal to 360 degrees. which means, we can write:

360 = (x+10)  +  (2x+20) + 3x  

x = 55

The exterior angles have values of 65, 130 and 165. The exterior that will have the largest value will correspond to the smallest interior angle and therefore  have a value of 15 degree!.  ;)

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