Question

select the correct answer.
youre given three angle measurements of 30°, 70°, and 80°. how many triangles can you construct using these measurements?
a. 0
b. 1
c. 2
d. infinitely many

Explanation:

Step1: Check triangle angle sum

The sum of angles in a triangle is $180^\circ$. Calculate the sum of given angles: $30^\circ + 70^\circ + 80^\circ = 180^\circ$, so a triangle with these angles is possible.

Step2: Analyze triangle construction

When only angle measures are given (no side lengths), triangles with the same angle measures are similar, but we can construct infinitely many triangles by varying the side lengths (since similarity allows scaling).

Answer:

D. infinitely many