Mathematics Knowledge

Yesterday I presented a question about triangles.

If a right triangle has an angle that measures 40 degrees, what is the measure of the third angle?

  1. 40 degrees
  2. 50 degrees
  3. 90 degrees
  4. 140 degrees

 

As an ASVAB tutor, I remind my students of the importance of knowing about triangles for the Mathematics Knowledge section of the ASVABV.  The three angles of a triangle have a sum of 180 degrees.  A right triangle has one angle that measures 90 degrees.  If the second angle is 40 degrees, it is possible to figure out what the third angle is.

90 + 40 = 130.

Since the three angles add up to 180, to figure out the measure of the third angle, subtract 130 from 180

180 – 130 = 50

The third angle has a measure of 50 degrees.