I Thought It Adds Up To 180?

Geometry Level 2

\[ \begin{array} {l l } \sin{\angle ABC}& =\sin{137^{\circ}} \\ \sin{\angle BAC}& =\sin{76^{\circ}} \\ \sin{\angle ACB}& =\sin{61^{\circ}}\ \end{array} \]

Is it possible to have a \(\triangle ABC\) satisfying the conditions above?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.