contestada

nA = 360
The measure A, in degrees, of an exterior angle of a
regular polygon is related to the number of sides, n,
of the polygon by the formula above. If the measure
of an exterior angle of a regular polygon is greater
than 50', what is the greatest number of sides it
can have?
A) 5
B) 6
C) 7
D) 8

nA 360 The measure A in degrees of an exterior angle of a regular polygon is related to the number of sides n of the polygon by the formula above If the measure class=

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abidemiokin

The greatest number of sides it can have is 7 sides

The measure of exterior polygon

Th measure of exterior polygon of is expressed according to the formula

  • exterior = 360/n

nA = 360

Given that A = 50 degrees

Substituting into the formula we will havee:

50n = 360

n = 360/50

n = 7.2

Hence the greatest number of sides it can have is 7 sides

Learn more on exterior polygon here: https://brainly.com/question/2546141

onyebuchinnaji

The greatest number of sides the polygon can have is 8 sides.

Sum of exterior angles of a regular polygon

The sum of exterior angles of a regular polygon is 360 degrees.

The least number of sides of the polygon

The least possible number of sides of the polygon is calculated as follows;

[tex]nA = 360\\\\n(50) = 360\\\\n = \frac{360}{50} \\\\n = 7.2[/tex]

The greatest number of sides of the polygon

The greatest number of sides of the polygon must be greater than 7.2.

Thus, the greatest number of sides the polygon can have is 8 sides.

Learn more about exterior angles of polygon here: https://brainly.com/question/2546141