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Gnom [1K]
3 years ago
15

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

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

<em>mBAD = 244°</em>

Step-by-step explanation:

<em>~ 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 ~</em>

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,

<em>mBAD = 244°</em>

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