Question

What is the arc measure of major arc BAD on circle P in degrees?

Answer 1

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°