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EleoNora
[17]
2 years ago
7
*****50 POINTSSSS*****
Mathematics
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1
answer:
defon
2 years ago
6
0
Answer:
<h3>Given</h3>
m∠REG = 78°
mAR = 46°
ER ≅ GA
<h3>Solution</h3>
m∠GAR = 180° - m∠REG = 180° - 78° =
102°
(supplementary angles sum to 180°)
m∠TAR = 1/2mAR = 1/2(46°) =
23°
(tangent chord angle is half the size of intercepted arc)
m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) =
55°
(straight angle is 180°)
mAG = 2m∠GAN = 2(55°) =
110°
mRE = mAG =
110°
(as ER ≅ GA)
mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) =
94°
(full circle is 360°)
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