Two intersecting lines, create four angles, numbered 123 and four where four is adjacent 21 and three and M2 equals 110 which other angle has a major that is also equal to 110

Answer 1

Based on the given information, we know that:

Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360 degrees (sum of angles formed by intersecting lines)

Angle 2 + Angle 1 + Angle 3 = 180 degrees (linear pair formed by adjacent angles on a straight line)

Angle M2 = 110 degrees (given)

To find the angle that has a measure equal to 110 degrees:

1. Angle 1 + Angle 2 + Angle 3 + Angle 4 = 360 (equation 1)
2. Angle 2 + Angle 1 + Angle 3 = 180 (equation 2)
3. Angle M2 = 110

From equation 1, we can express Angle 4 in terms of Angle 1, Angle 2, and Angle 3:

Angle 4 = 360 - Angle 1 - Angle 2 - Angle 3

Substituting this into equation 2, we get:

Angle 2 + Angle 1 + Angle 3 = 180
Angle 2 + Angle 1 + Angle 3 + (360 - Angle 1 - Angle 2 - Angle 3) = 180
Angle 2 + Angle 1 + Angle 3 + 360 - Angle 1 - Angle 2 - Angle 3 = 180
360 = 180

This is not a valid equation, resulting in an inconsistency. Therefore, based on the given information, the other angle with a measure equal to 110 degrees cannot be determined.