#1**+2 **

A) ∠A intercepts arc CD.

B) ∠BED intercepts arc BCD.

C) The measure of an inscribed angle is half the measure of its intercepted arc. So...

The measure of ∠BED is half the measure of arc BCD

The measure of ∠BED = (1/2)(the measure of arc BCD)

85° = (1/2)(the measure of arc BCD)

2(85°) = the measure of arc BCD

170° = the measure of arc BCD

D) The measure of ∠A = (1/2)(the measure of arc CD)

The measure of ∠A = (1/2)(128°)

The measure of ∠A = 64°

E) The sum of all the arcs in a circle is 360° , so...

The measure of the rest of the circle = 360° - 82°

The measure of the rest of the circle = 278°

hectictar
Mar 25, 2018

#1**+2 **

Best Answer

A) ∠A intercepts arc CD.

B) ∠BED intercepts arc BCD.

C) The measure of an inscribed angle is half the measure of its intercepted arc. So...

The measure of ∠BED is half the measure of arc BCD

The measure of ∠BED = (1/2)(the measure of arc BCD)

85° = (1/2)(the measure of arc BCD)

2(85°) = the measure of arc BCD

170° = the measure of arc BCD

D) The measure of ∠A = (1/2)(the measure of arc CD)

The measure of ∠A = (1/2)(128°)

The measure of ∠A = 64°

E) The sum of all the arcs in a circle is 360° , so...

The measure of the rest of the circle = 360° - 82°

The measure of the rest of the circle = 278°

hectictar
Mar 25, 2018