Question

The measures of the exterior angles of a pentagon are 2x°,3x°,4x°,5x°,6x°,7x°,8x°. solve for x

Answer 1

x = 18

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To solve for x in this problem, we can use the fact that the sum of the measures of the exterior angles of any polygon is always 360 degrees.

In a pentagon, there are five exterior angles, so the equation would be:

• 2x + 3x + 4x + 5x + 6x = 360

Adding like terms, we get:

• 20x = 360

Dividing both sides by 20, we find:

• x = 18

Therefore, x is equal to 18.