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 complementary.

Short answer

When two of the angles are complementary, then a triangle exits and it can be classified as Right-angled triangle.

Step-by-step solution

Step 1. Given Information.

Two of the angles are complementary.

Step 2. Explanation.

Complementary angles are those whose sum of the angles is $90°$. That is $m\angle 1+m\angle 2=90°$.

In a right-angled triangle, one angle measures $90°$ and the other two angles sum up to $90°$.

Thus, when two of the angles are complementary then a triangle exits and it can be classified as right-angled triangle.