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abecobos37
08.10.2019 •
Mathematics
Given: circle k(o), m∠a=(x+45)°, m ke =(x+20)°, m ew =(3x)° find: m kw . asap will give brainliest!
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Ответ:
160°
Step-by-step explanation:
We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).
that would mean that Angle KAW is half of measure of Arc KW. Thus we can write:
m∠A = 0.5 (arc KE + arc EW)
x+45 =0.5 (x+20+3x)
x+45 = 0.5(4x+20)
x+45 = 2x + 10
45 - 10 = 2x - x
Thus, x = 35
Since Arc KW = Arc KE + Arc EW and x = 35, we can say:
Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°
Ответ:
hi
Step-by-step explanation: