176k views
0 votes
A regular polygon has 16 sides. If one of its angles measures (5h − 29)°, what is the value of h?

PLEASE I NEED HELP!!

1 Answer

2 votes

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 Scaryzet
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories