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ASVAB · Geometry

Two angles of a triangle measure 65° and 75°. What is the third angle?

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

40°

  1. A 50°
  2. B 30°
  3. C 40°
  4. D 60°

Why this is the answer

Sum of angles in a triangle = 180°. Third angle = 180° - 65° - 75° = 40°. The three interior angles of any triangle always total 180°, so once two are known the third is forced. Add the known angles first (65 + 75 = 140), then subtract from 180. A sanity check: 65°, 75° and 40° are all less than 90°, so this is an acute triangle, which is consistent. The distractors are simply other round numbers near the answer.
Source: ASVAB MK, Triangle 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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