What do the interior angles of any 4 sided figure equal?

What do the interior angles of any 4 sided figure equal?

• A. 180 degrees.
• B. 360 degrees.
• C. 540 degrees.
• D. 90 degrees.

Answer: (B)

In a four-sided figure the interior angles add up to 360 degrees. You can see this by drawing a diagonal to split the shape into two triangles; each triangle has interior angles totaling 180 degrees, so together they sum to 360. This also matches the general rule for polygons: the sum is (n − 2) × 180 degrees, and with n = 4, that becomes (4 − 2) × 180 = 360. So the interior angles of any four-sided figure total 360 degrees. The other numbers correspond to different shapes—180 is for a triangle, 540 for a pentagon, and 90 is the size of each angle in a square, not the total.

In a four-sided figure the interior angles add up to 360 degrees. You can see this by drawing a diagonal to split the shape into two triangles; each triangle has interior angles totaling 180 degrees, so together they sum to 360. This also matches the general rule for polygons: the sum is (n − 2) × 180 degrees, and with n = 4, that becomes (4 − 2) × 180 = 360. So the interior angles of any four-sided figure total 360 degrees. The other numbers correspond to different shapes—180 is for a triangle, 540 for a pentagon, and 90 is the size of each angle in a square, not the total.