Final Answer:
The measure of angle 26 is m∠26 = 126°, thus the correct option is H.
Step-by-step explanation:
Given that lines b and c are parallel, we can conclude that they are equal. This means that angles b and c are equal. From the given options, we can determine that the measure of angle b is 54°, which means that the measure of angle c is also 54°.
We can further deduce that the measure of angle 26 is equal to the sum of angles b and c, which is 54° + 54° = 108°. Also, we can determine that angles a and d are equal to each other and the sum of angles a and d is equal to 108°. This means that the measure of angle a is equal to the measure of angle d, which is 54°.
Therefore, the measure of angle 26 is equal to the sum of angles a and d, which is 54° + 54° = 126°. Therefore, the measure of angle 26 is m∠26 = 126°.