Question

Given ab and be are diameter of circle P. Diameter whether the arc is a minor arc, a major arc or a semi-circle of circle P. The find the measure of the arc. A. CD b. AE c. BC d. AC e. ADC f.AED g.CE H. BAD

Answer 1

a. m(arc) CD = 65°

b. m(arc) AE = 120°

c. m(arc) BC = 55°

d. m(arc) AC = 115°

e. m(arc) ADC = 245°

f. m(arc) AED = 180°

g. m(arc) CE = 125°

h. m(arc) BAD = 240°

Explanation:

a.

m<CPD = 180 - 55 - 60 = 65

m(arc) CD = 65°

b.

m<APB = 60°

m<APE = 180° - 60° = 120°

m(arc) AE = 120°

c.

m(arc) BC = 55°

d.

m(arc) AC = 60° + 55° = 115°

e.

m(arc) ADC = 120° + 60° + 65 = 245°

f.

m(arc) AED = 180°

g.

m(arc) CE = 60° + 65° = 125°

h.

m(arc) BAD = 60° + 120° + 60° = 240°