hnsanders00
08.03.2021 •
Mathematics
Solve these and show your work please
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Ответ:
(2x + 16) + (x) = 180
step-by-step explanation:
given,
abcd is a quadrilateral inscribed in a circle
angle a is labeled x plus 16, (x + 16)
angle b is labeled x degrees, (x)
angle c is labeled 6x minus 4, (6x – 4)
angle d is labeled 2x plus 16, (2x + 16)
what equation can be used to solve for angle b?
we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.
angle b is opposite angle d
therefore, angle b + angle d = 180
(x) + (2x + 16) = 180
same as (2x + 16) + (x) = 180