The measure of angle 4 is 44 degrees. Option D
To determine the measure of the angle, we have to know the following;
- The sum of angles on a straight line is 180 degrees
- Supplementary angles sum up to 180 degrees
- Angles at right angle is 90 degrees
- Alternating angles are equal
- Corresponding angles are equal
Then, we have that;
m<3 + 93 = 180
m<3 = 87 degrees
Then, sum of angles in a triangle
49 + m<4 + 87 = 180
collect like terms
m<4 = 44 degrees