Concept explainers
To find: whether the measurement of exterior angle will be always greater than the sum of nonadjacent interior angles or not state with explanation.
Answer to Problem 48E
The exterior angle will be equal to two nonadjacent interior angles not greater than two nonadjacent interior angles.
Explanation of Solution
Given:
exterior angle and interior angle.
Concept used:
Sum of the three angles of triangle is always
Exterior angle theorem:
The exterior angle will be equal to two nonadjacent interior angles.
Calculation:
No, it is not true that exterior angle will be always greater than two nonadjacent interior angles.
According to the exterior angle theorem:
The measurement of an exterior angle in a triangle is always equal to the sum of measurement of the two nonadjacent interior angles.
Hence, exterior angle will be equal to two nonadjacent interior angles not greater than two nonadjacent interior angles.
Chapter 12 Solutions
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