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Expert-verified Found in: Page 690 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # 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.

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

See the 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. ### Want to see more solutions like these? 