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 ...?
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.
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!. ;)