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I need help is for geometry

I need help is for geometry-example-1

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Answers:
mAE = 78°
mABD = 206°
mDA = 154°
mBCE = 255°
mECA = 282°
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Step-by-step explanation:
The total arc measure of a circle is 360.

This circle shows that mDE has the same arc as mDC. mDC's arc will equal 76.

To find mAE, add all the known arc values, set mAE to x, and set the equation equal to 360.


27 + 103 + 76 + 76 + x = 360

Combine all like terms.


27 + 103 = 130

76 + 76 = 152

130 + 152 = 282


282 + x = 360

Subtract 360 from both sides to get x by itself.


x = 78

The arc measure of mAE is 78.


Now we can find all of the arc values.

mAE = 78°

mABD = measure of mAB + mBD

27 + (103 + 76) = 27 + 179 = 206

mABD = 206°

mDA = mDE + mEA


76 + 78 = 154

mDA = 154°

mBCE = mBC + mCD + mDE


103 + 76 + 76 = 179 + 76 = 255

mBCE = 255°

mECA = mED + mDC + mCB + mBA


76 + 76 + 103 + 27 = 152 + 130 = 282

mECA = 282°
User Vanraj Ghed
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