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A regular polygon has 16 sides. If one of its angles measures (5h − 29)°, what is the value of h?

PLEASE I NEED HELP!!

User Serafin
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1 Answer

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Final answer:

To find the value of h, use the formula for the interior angles of a regular polygon and solve the equation.

Step-by-step explanation:

To find the value of h, we can use the formula for the interior angles of a regular polygon:

Interior angle = (n-2) * 180° / n

where n is the number of sides of the polygon. In this case, the regular polygon has 16 sides, so:

Interior angle = (16-2) * 180° / 16 = 14 * 180° / 16 = 157.5°

Now, we can set up an equation using the given angle measure and solve for h:

(5h - 29)° = 157.5°

5h - 29 = 157.5

5h = 157.5 + 29

5h = 186.5

h = 186.5 / 5 = 37.3

Therefore, the value of h is approximately 37.3.

User Ekolis
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