# Sum of inner angles

Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees.

## Correct answer:

### You need to know the following knowledge to solve this word math problem:

### Units of physical quantities:

#### Themes, topics:

### Grade of the word problem:

We encourage you to watch this tutorial video on this math problem: video1

## Related math problems and questions:

- N-gon angles

What is the sum of interior angles 8-gon? What is the internal angle of a regular convex 8-polygon? - The sum 11

The sum of the measures of the two angles is 89°. One angle has a measure of 64°. What is the measure in degrees of the second angle? - Interior angles - sum

For the sum s of the interior angles of a polygon, where n is the number of its sides, the relation s=(n−2)⋅180 degrees applies. How many sides does a polygon have if the sum of its interior angles is 900°? - Interior angles 4

How many degrees are in the sum of the interior angles of a quadrilateral?

- The angles 4

The angles of a triangle are divided into the ratio 126: 213: 312. If the three angles sum to 180°, find the size of each of the three angles. - Three numbers

How much do we increase the sum of three numbers when the first enlarges by 14, the second by 15, and the third by 16? Choose any three two-digit numbers and prove the results. - Calculate 30281

One angle of the skeleton is 30 degrees larger than the other. Calculate all its angles.