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xenn [34]
3 years ago
7

I need help is for geometry

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0
Answers:
mAE = 78°
mABD = 206°
mDA = 154°
mBCE = 255°
mECA = 282°
--------------------------------------------
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°
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