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# Help

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Mar 25, 2018

#1
+8394
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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°

Mar 25, 2018

#1
+8394
+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