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What is the arc measure, in degrees of Arc ADC on Circle P below?

What is the arc measure, in degrees of Arc ADC on Circle P below?-example-1

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Answer:

measure of arc ADC = m∠CPD + m∠DPA = 186

Explanation:

As this is the circle P, so that we have:

+) m∠APB + m∠BPC + m∠CPD + m∠DPA = 360 degree

=> 70 + 104 + m∠CPD + m∠DPA = 360

=> m∠CPD + m∠DPA = 360 - 70 - 104 = 186

As P is the center, so that we have:

+) measure of arc AD = m∠APD

+) measure of arc DC = m∠CPD

+) measure of arc BC = m∠BPC

+) measure of arc AB = m∠APB

As D is on arc AC, so that:

measure of arc ADC = measure of arc AD + measure of arc DC

=> measure of arc ADC = m∠CPD + m∠DPA = 186

User John Chadwick
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