Question

Angle MNO is formed by segments MN and NO on the coordinate grid. Angle MNO has vertices at (-4, 4) and (-2, 2) and (-4, 1) and measures 71.57 degrees. Angle MNO is rotated 180 degrees counterclockwise about the origin to form angle M'N'O'. Which statement shows the measure of angle M'N'O'?

a. m∠M'N'O' = 90 degrees
b. m∠M'N'O' = 180 degrees
c. m∠M'N'O' = 2 × m∠MNO
d. m∠M'N'O' = m∠MNO

Answer 1

The measure of angle M'N'O' is the same as the measure of angle MNO.

Step-by-step explanation:

To find the measure of angle M'N'O', we need to understand the concept of rotating angles. When an angle is rotated counterclockwise about the origin, its measure remains the same. In this case, angle MNO has a measure of 71.57 degrees. Therefore, angle M'N'O' also has a measure of 71.57 degrees. Hence, the correct statement is d. m∠M'N'O' = m∠MNO.