Concept explainers
a.
To find: the relation between an exterior angle of a
a.
Answer to Problem 12PSB
“exterior angle of the triangle is equal to the sum of two remote interior angles”.
Explanation of Solution
Given:
Relation between an exterior angle of a triangle and the two remote interior angles.
Calculation:
According to the theorem 51, the measurement of the exterior angle of the triangle is equal to the sum of two remote interior angles.
Hence, the relation is “exterior angle of the triangle is equal to the sum of two remote interior angles”.
b.
To find: the relation between an exterior angle of a triangle and the one remote interior angles.
b.
Answer to Problem 12PSB
“exterior angle of the triangle is greater than one of its remote interior angles”.
Explanation of Solution
Given:
Relation between an exterior angle of a triangle and the one remote interior angle.
Calculation:
According to the theorem 51, the measurement of the exterior angle of the triangle is equal to the sum of two remote interior angles.
Hence, the relation is “exterior angle of the triangle is greater than one of its remote interior angles”.
Chapter 15 Solutions
Geometry For Enjoyment And Challenge
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning