Question

no -- exactly 1 -- more than 1 -- there is ---- a triangle with angle measures of 67° and 100°.

Explanation:

Step1: Sum given angles

$67^\circ + 100^\circ = 167^\circ$

Step2: Find required third angle

The sum of angles in a triangle is $180^\circ$, so the third angle would be $180^\circ - 167^\circ = 13^\circ$.

Step3: Check triangle validity

Since the sum of all three angles is $180^\circ$, and infinitely many triangles (of different sizes, similar triangles) can have these angle measures.

Answer:

More than 1