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30.12.2021 •
Mathematics
In the opposite figure :
m arc (AC) = m arc (AD ) = 2 m arc (BD) , m arc (BC) = 100° , then θ = ............⁰
(a) 78
(b) 65
(c) 52
(d) 84
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Ответ:
(a) 78
Step-by-step explanation:
The sum of arcs of a circle is 360°. The measure of θ is the average of the measures of arcs BD and AC.
AC +AD +BD +100 = 360
(2BD) +(2BD) + BD = 260 . . . . use the given relation for AC, AD; subtract 100
BD = 52 . . . . . . . . . . . . . . . . . divide by 5
θ = (AC +BD)/2 = (2(52) +52)/2 = 52 +26
θ = 78 . . . . degrees
Ответ:
hloa
Step-b omcetaso