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.
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
1 answer