Question

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

Explanation:

Step1: Calculate sum of given angles

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

Step2: Find the third angle

$180^\circ - 167^\circ = 13^\circ$

Step3: Check triangle validity

A triangle's angles sum to $180^\circ$, here the three angles $67^\circ, 100^\circ, 13^\circ$ satisfy this. Also, we can scale the side lengths infinitely to create similar triangles with these angle measures.

Answer:

More than 1