Find the number of distinct triangles with the measurements a=1 b=2 and a=31 degrees

No triangle possible.

Step-by-step explanation:

Let in triangle ABC,

BC = a = 1 unit,

AC = b = 2 unit,

m∠A = 31°,

By the law of sine,

⇒ m∠B= undefined

( ∵ the value of sin Ф lies from 0 to 1 where Ф is an angle )

An angle of a triangle can not be undefined.

∴ Triangle ABC is not possible,

That is, there is no possible triangle with the given measures.

it would be:

c.parallelogram.

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.