The sum of the interior angles of a quadrilateral equals 360°.

True

False

Question

The sum of the interior angles of a quadrilateral equals 360°.


True

False

mathstudent55 · Answer

The sum of the measures of the interior angles of a polygon with n sides is
(n - 2)180.

Use the statement above to find whether the given statement is true or false.

anonymous · Answer

false?

mathstudent55 · Answer

Let's solve this together.

Look at the formula I gave you above.
If a polygon has n sides, the sum of the measures of the interior is (n - 2)180.

In your case, you are dealing with a quadrilateral.
How many sides does a quadrilateral have?

anonymous · Answer

4

anonymous · Answer

so its true!

mathstudent55 · Answer

Correct.
You have n = 4.
That means you get:
(n - 2)180
= (4 - 2)180
= 2*180
= 360
The statement is true.