Chapter 12.1, Problem 29E

To determine

To find:Whether a triangle exits or not when two of the angles are complementary.

Answer to Problem 29E

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

Explanation of Solution

Given information: Two of the angles are complementary.

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

In a right-angled triangle, one angle measures ${90}^{\circ }$ and the other two angles sum up to ${90}^{\circ }$

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