20.4k views
1 vote
Question 2 A shape is equiangular with a total of 16 sides. How many degrees would just one of the interior angles have?

-162.5
-135
-156
- 157.5​

1 Answer

5 votes

Answer:

Explanation:

To find the measure of just one interior angle in a shape with 16 sides, we can use the following formula:

Interior angle = (n-2) * 180° / n

where n is the number of sides in the shape.

1. Start with the given information: The shape has 16 sides.

2. Plug in the value of n into the formula:

Interior angle = (16-2) * 180° / 16

Interior angle = 14 * 180° / 16

3. Simplify the expression:

Interior angle = 2520° / 16

Interior angle = 157.5°

Therefore, just one of the interior angles in this equiangular shape with 16 sides would measure 157.5 degrees.

User Daniel Gehriger
by
8.3k points