Question

Dana draws a triangle with one angle that has a measure of 40 degrees . a. what is the measure of the angle’s adjacent exterior angle

Answer 1

The measure of an angle's adjacent exterior angle to a 40-degree interior angle in a triangle is 140 degrees.

Step-by-step explanation:

The question is asking for the measure of an adjacent exterior angle to a 40-degree interior angle of a triangle. By the definition of adjacent angles and the properties of a straight line, we can deduce that the adjacent exterior angle must add up to 180 degrees when combined with the interior angle because they form a linear pair. Therefore, to find the exterior angle, we subtract 40 degrees from 180 degrees:

• 180 degrees (straight line) - 40 degrees (interior angle) = 140 degrees (adjacent exterior angle).

Thus, the measure of the angle's adjacent exterior angle is 140 degrees.