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Ainat [17]
3 years ago
12

Need help pls. 100 points

Mathematics
1 answer:
Kaylis [27]3 years ago
8 0

arcAE = 126°

Step-by-step explanation:

Note that arcAD is a diameter therefore arcAD = 180°. And arcAD = arcAE + arcED

Also note that the inscribed angleEAD intercepts the arcED and according to the inscribed angle theorem,

angleEAD = (1/2)arcED

or

arcED = 2×angleEAD = 2×(27°) = 54°

This means that the arcAE is

arcAE = arcAD - arcED

= 180° - 54°

= 126°

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