The measure of m<ADB is 38 degrees
To determine the measure of the angle, we have to know the following;
- Alternating angles are equal
- Corresponding angles are equal
- Angles on a straight line is 180 degrees
Then, from the diagram shown, we have that;
7x - 4 = 2x + 26
collect like terms
7x - 2x = 26 + 4
add the like terms
5x = 30
Divide by the coefficient
x = 6
Then, we have;
7(6) - 4
42 - 4 = 38 degrees