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ASVAB · Geometry

The angles of a quadrilateral sum to how many degrees?

Reviewed by Jordan Morley, Editorial Lead at 247SimpleTests. Written by the 247SimpleTests Editorial Team from the official source material cited on every question.

Correct answer

360°

  1. A 360°
  2. B 270°
  3. C 540°
  4. D 180°

Why this is the answer

A quadrilateral (4 sides) has interior angles summing to 360°. Triangles sum to 180°; each additional side adds 180°. You can see why by splitting any quadrilateral along a diagonal into two triangles, each contributing 180°. The general formula is (n − 2) × 180° for an n-sided polygon: triangle 180°, quadrilateral 360°, pentagon 540° (the last distractor), hexagon 720°. The distractor 270° is three right angles, which is not a closed shape's total.
Source: ASVAB MK, Polygon Angles

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About this topic: Geometry

Geometry on the Mathematics Knowledge section covers angles, triangles (including the Pythagorean theorem), circles, polygons, perimeter, area and volume, and basic coordinate geometry such as slope. Formulas are not provided, so they must be memorised. This is one of 19 Mathematics Knowledge questions on geometry, each with a full explanation on a single study page.

New to this exam? Our ASVAB exam guide explains the format, scoring, and how to prepare.

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