We appreciate your visit to A polygon with 5 sides is shown with its exterior angles The exterior angles are 62 degrees 66 degrees 77 degrees 59 degrees and 12x. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
x=8
Step-by-step explanation:
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Answer: X equals 8.
Step-by-step explanation: The polygon in the question has 5 sides. However, it is an irregular polygon hence the sides are given as 62 degrees, 66 degrees, 77 degrees, 59 degrees and 12X degrees.
The size of the exterior angle of a polygon is calculated as
Angle = 360/n
Where n is the number of sides. So for a five sided polygon, the size of the exterior angle is calculated as
360/5 which equals 72. Since it is an irregular polygon, the sum of the exterior angles can be expressed as
62 + 66 + 77 + 59 + 12X = 360
264 + 12X = 360
Subtract 264 from both sides of the equation
12X = 96
Divide both sides of the equation by 12
X = 8
