Question

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

Answer 1

Answer:

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

Step-by-step 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