Question

A triangle has angle measures of 45 degrees and 90 degrees. How many possible triangles can be drawn with these measures?

Answer 1

There is a rule, that says:

sum of angle measures is always equal to 180 degrees.

thats why:

1) total degrees =180 = 45 + 90 + x

so x = 180 - 45 - 90= 45 degrees

the answer is that you can have unlimited number of triangles with those measures (different lengths of sided of triangles, but third angle has to have 45 degrees)

2) 180 = 67 + 27 + x

x = 180 - 67 - 27 = 86 degrees