Answer:
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Answer:
The measure of one interior angle of a regular pentagon is 108 degrees.
Step-by-step explanation:
Use a digital ruler.
Answer:

Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
---------------------------------------------------------------
cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= -
cosx -
sinx
squaring to obtain cos² (120 + x)
=
cos²x +
sinxcosx +
sin²x
--------------------------------------------------------------------
cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= -
cosx +
sinx
squaring to obtain cos²(120 - x)
=
cos²x -
sinxcosx +
sin²x
--------------------------------------------------------------------------
Putting it all together
cos²x +
cos²x +
sinxcosx +
sin²x +
cos²x -
sinxcosx +
sin²x
= cos²x +
cos²x +
sin²x
=
cos²x +
sin²x
=
(cos²x + sin²x) = 
Hey there!!
We know angle DEC = angle AEB
Hence,
... 4x + 12 = 5x - 10
... - x = - 22
... x = 22
4 ( 22 ) + 12
88 + 12
100° is the answer.
Hope my answer helps!
Answer:
20 degrees
Step-by-step explanation: