Step-by-step explanation:
We know the area of a circle is
That is when the cricle is 360 degrees full, so another formula is
If we the find the area of the sector with angle x, then that formula will be
There is a way to solve for the interior angles of the polygon add up to, by using the expression: (Note: n being the side: (n - 2)180
solve for the 14 angles first. Plug in 14 for n
14 - 2 = 12
12 x 180 = 2160
All of the angles combined together = 2160°. Note that it is given to us that 13 of the angles = 2016°
Solve for the last angle. Set the last (14th) angle as x:
x + 2016 = 2160.
Isolate the x. Note the equal sign, what you do to one side, you do to the other. Subtract 2016 from both sides
x + 2016 (-2016) = 2160 (-2016)
x = 2160 - 2016
x = 144
Answer: The 14th angle must be 144°
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Answe Step-by-step explanati :w este mai mic de cat - 1:
41.8, angle y and the measurement angle labeled as just "138.2" are supplementary angles, meaning that when you add them together they equal 180. So all you have to do is subtract 138.2 from 180 and you get your answer which is 41.8.
