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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 59E

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Question

The traiangle shown below on the left has interior angles measuring x^0, y^0, and z^0. Cedric copied that triangle three times, rotated those triangles, and placed them together, as shown on the right.

What does this allow you to conclude, and why?
A.The measure of the exterior angle of any angle in a triangle is 90◦
B.The measure of the exterior angle of any angle in a triangle is 180◦
C.The measures of the interior angles of a triangle add to 90◦ because placed together, they form a complementary angle.
D.The measures of the interior angles of a triangle add to 180◦ because placed together, they form a supplementary angle.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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