The value of x in the heptagon is 64
The measure of one central angle of a regular octagon is 135°
Regular polygon
Regular polygon are polygon that are equiangular. This simply means all the angles are equal.
The regular polygon has 8 angles. Therefore, it is an heptagon.
The sum of internal angle of a regular heptagon is 900 degrees.
Therefore,
120 + 3x + 5 + x + 45 + 135 + x - 45 + 5x = 900
10x = 900 - 120 - 50 - 135 + 45
10x = 640
divide both sides by 10
x = 640 / 10
x = 64
The degree measure of one central angle of a nonagon can be calculated as follows;
sum of angle in a octagon = 1080
central angle = (n - 2)180 / n = 6 × 180 / 8 = 1080 / 8 = 135°
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