The measure of angle 2 is 72 degrees.
To find the measure of angle 2, we need to use the fact that angles 1, 2, and 3 form a straight line. In other words, the sum of the measures of angles 1, 2, and 3 is 180 degrees.
Given that angle 1 has a measure of 55 degrees and angle 3 has a measure of 53 degrees, we can use the equation:
angle 1 + angle 2 + angle 3 = 180 degrees
Substituting the known values:
55 degrees + angle 2 + 53 degrees = 180 degrees
Combining like terms:
108 degrees + angle 2 = 180 degrees
To isolate angle 2, we can subtract 108 degrees from both sides of the equation:
angle 2 = 180 degrees - 108 degrees
Simplifying:
angle 2 = 72 degrees
Therefore, the measure of angle 2 is 72 degrees.
The question probable may be:
How is the measure of angle 2 determined, given that angles 1, 2, and 3 form a straight line, and angles 1 and 3 measure 55 degrees and 53 degrees, respectively?