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.