Answer :
To determine whether the measures of an exterior angle and the adjacent interior angle add up to 360° because they form a linear pair, let's first define what these terms mean.
1. Interior Angle: This is the angle inside a polygon.
2. Exterior Angle: This is the angle formed between one side of a polygon and the extension of an adjacent side.
When an exterior angle and its adjacent interior angle are considered together, they form a linear pair.
A linear pair of angles is a pair of adjacent angles whose non-common sides form a straight line.
The important fact to remember about linear pairs is:
- The sum of the angles in a linear pair is always 180°, because they lie on a straight line.
Given this information, the question claims that the measures of an exterior angle and the adjacent interior angle add up to 360°.
However, since a linear pair always sums to 180°, the statement given in the question must be evaluated as:
False.
Therefore, the correct answer is:
B. False
1. Interior Angle: This is the angle inside a polygon.
2. Exterior Angle: This is the angle formed between one side of a polygon and the extension of an adjacent side.
When an exterior angle and its adjacent interior angle are considered together, they form a linear pair.
A linear pair of angles is a pair of adjacent angles whose non-common sides form a straight line.
The important fact to remember about linear pairs is:
- The sum of the angles in a linear pair is always 180°, because they lie on a straight line.
Given this information, the question claims that the measures of an exterior angle and the adjacent interior angle add up to 360°.
However, since a linear pair always sums to 180°, the statement given in the question must be evaluated as:
False.
Therefore, the correct answer is:
B. False
