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katen-ka-za [31]
3 years ago
5

What is the sum of the interior angles of a quadrilateral?

Mathematics
2 answers:
7nadin3 [17]3 years ago
4 0
We have seen in the Triangle Sum<span> Conjecture that the</span>sum<span> of the </span>angles<span> in any triangle is 180 degrees. The</span>Quadrilateral Sum<span> Conjecture tells us the </span>sum<span> of the</span>angles<span> in any convex </span>quadrilateral<span> is 360 degrees. Remember that a polygon is convex if each of its</span>interior angles<span> is less that 180 degree.</span>
Fynjy0 [20]3 years ago
4 0
The sum of the interior angles of a quadrilateral will always be 360°
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A right triangle has one side that measures 4in. The angle opposite that side measures 80 degrees. What is the length of the hyp
Crazy boy [7]

Hello from MrBillDoesMath!

Answer:

4/sin(80)

which is approximately 4.06



Discussion:

From the triangle, not drawn too accurately  (see attachment)


sin(80) = side opposite /hypotenuse   =>

sin (80) =  4/c            =>       multiply both sides by "c"

c sin(80) = 4/c * c      =>      

c sin(80) = 4               =>      divide both sides by sin(80)

c = 4/sin(80)

and 4/sin(80) is approximately 4.06


Thank you,

MrB

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