The value of x in the for an heptagon with exterior angles as x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x° is 10.
Heptagons are polygons with seven sides.
The sum of exterior angles of a polygon is equals to 360 degrees.
Therefore,
x + 2x + 3x + 4x + 7x + 9x + 10x = 360°
36x = 360
divide both sides by 36
36x / 36 = 360 / 36
x = 10
Therefore, the value of x is equals to 10
learn more on polygon here: brainly.com/question/22387429?referrer=searchResults
The heptagon's exterior angles sum up to 360 degrees. Given the angles are x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x°, summing and setting equal to 360 yields a value of 10 for x.
The subject of this question is Mathematics, specifically pertaining to angles and geometry. The question pertains to a heptagon, or a seven-sided polygon, and its exterior angles. We know that the sum of the exterior angles of any polygon is 360 degrees.
The question provides the measures of the exterior angles of a heptagon in terms of x: x°, 2x°, 3x°, 4x°, 7x°, 9x°, and 10x°. Therefore, to find the value of x, we need to solve the equation x + 2x + 3x + 4x + 7x + 9x + 10x = 360. That results in 36x = 360, and so .
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