Answer :

Answer:

x = 27

Step-by-step explanation:

A circle adds up to 360 degrees. So we make this equation:

2x+21 + 5x+6 + 54 + 90 = 360

Combine like terms:

7x + 171 = 360

Subtract both sides by 171

7x = 189

Divide both sides by 7

x = 27

Answer:

Step-by-step explanation:

this has a bunch of "implied"  things that you're supposed to know.   one is that all the way around a circle is 360°   two is that if you know the angle on the interior.. that is also the arc length.. so knowing those things  we can say

360 = 54 + 2x + 21 + 5x + 6 + 90

put like terms together

360 = 171 + 7x

189 = 7x

27 = x

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