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Q29.

Expert-verifiedFound in: Page 690

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.**

Two of the angles are complementary.

**Complementary angles are those whose sum of the angles is $90\xb0$.** That is $m\angle 1+m\angle 2=90\xb0$.

In a right-angled triangle, one angle measures $90\xb0$ and the other two angles sum up to $90\xb0$.

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

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