Question

In Exercises 29 and 30, tell whether a triangle exists for the given description. If so, classify the triangle by its angles. If not, explain why not.

Two of the angles are supplementary.

Short answer

When two of the angles are supplementary, then no triangle exits.

Step-by-step solution

Step 1. Given Information.

Two of the angles are supplementary.

Step 2. Explanation.

Supplementary angles are those whose sum of the angles is $180°$. That is$m\angle 1+m\angle 2=180°$.

Since, the sum of the angles of a triangle is $180°$, it is not possible for a triangle to have supplementary angles.

Thus, when two of the angles are supplementary, then no triangle exits.