Answer:
mBAD = 244°
Explanation:
~ Let us calculate the two unknown angles, represented by two lines each. These two lines are shared by each angle such that they are congruent ~
m∠ APE = x = m∠ EPD,
360 - 136 = m∠ APE + m∠ EPD + 42 + 74,
224 = x + x + 42 + 74,
224 = 2x + 116,
2x = 108,
x = 54 = m∠ APE = m∠ EPD
Now that we know the measure of these unknown angles, let us solve for the degree measure of arc BAD, as such:
mBAD = m∠ BPA + m∠ APE + m∠ EPD,
mBAD = 136 + 54 + 54,
mBAD = 244°