Directions. Write TRUE if the statement is correct, FALSE if not correct. 1. The sum of the measures of the interior angles of any triangle is equal to 180°. 2. According to Triangle Inequality Theorem the sum of the lengths of any two sides of a triangle is lesser than the length of the third side. 3. The measure of an exterior angle of a triangle is equal to the difference of the measures of its two remote interior angles.
Directions. Write TRUE if the statement is correct, FALSE if not correct. 1. The sum of the measures of the interior angles of any triangle is equal to 180°. 2. According to Triangle Inequality Theorem the sum of the lengths of any two sides of a triangle is lesser than the length of the third side. 3. The measure of an exterior angle of a triangle is equal to the difference of the measures of its two remote interior angles.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![Directions. Write TRUE if the statement is correct, FALSE if not correct.
1. The sum of the measures of the interior angles of any triangle is equal to 180°.
2. According to Triangle Inequality Theorem the sum of the lengths of any two sides of a triangle is lesser than the length of the third side.
3. The measure of an exterior angle of a triangle is equal to the difference of the measures of its two remote interior angles.
4. If one angle of a triangle is larger than the measure of the second angle, then the side opposite the larger angle is shorter than the side opposite the second angle.
5. The perpendicular segment from a point to a line is the longest segment from the point to a line.
6. The measure of an exterior angle of a triangle is greater than that of each of its remote interior angles.
7. If one side of a triangle is longer than the second, then the angle opposite the longer side is larger than the angle opposite the second side.
8. If one angle of a triangle is larger than the measure of the second angle, then the side adjacent the larger angle is longer than the side opposite the second angle.
9. An exterior angle of a triangle is an angle adjacent and supplementary to one of its interior angles.
10. An adjacent interior angle of a triangle is an interior angle that foms a linear pair with the given exterior angle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ab644d0-c9b4-457c-bb21-6c309edae7fa%2Fd52a4453-1f31-4063-817a-63292e564ba5%2F99utaz7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Directions. Write TRUE if the statement is correct, FALSE if not correct.
1. The sum of the measures of the interior angles of any triangle is equal to 180°.
2. According to Triangle Inequality Theorem the sum of the lengths of any two sides of a triangle is lesser than the length of the third side.
3. The measure of an exterior angle of a triangle is equal to the difference of the measures of its two remote interior angles.
4. If one angle of a triangle is larger than the measure of the second angle, then the side opposite the larger angle is shorter than the side opposite the second angle.
5. The perpendicular segment from a point to a line is the longest segment from the point to a line.
6. The measure of an exterior angle of a triangle is greater than that of each of its remote interior angles.
7. If one side of a triangle is longer than the second, then the angle opposite the longer side is larger than the angle opposite the second side.
8. If one angle of a triangle is larger than the measure of the second angle, then the side adjacent the larger angle is longer than the side opposite the second angle.
9. An exterior angle of a triangle is an angle adjacent and supplementary to one of its interior angles.
10. An adjacent interior angle of a triangle is an interior angle that foms a linear pair with the given exterior angle.
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