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Black_prince [1.1K]
2 years ago
9

Work out size of angle x

Mathematics
1 answer:
stiks02 [169]2 years ago
5 0

Answer:

x = 105 degrees.

Step-by-step explanation:

The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =

135 degrees.

So angle x = 360 - ( 120 + 135)

= 360 - 255

= 105 degrees.

Note we use the fomula T = 180( n - 2)  to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.

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The equation for a circle is

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Let's plug everything in!

(x - 5) ² + (y - (-1)) ² = 12²

Your final equation is

(x - 5) ² + (y + 1) ² = 144

<em>Hope I helped! Comment or message me if you have any questions :) </em>

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Step-by-step explanation

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