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german
3 years ago
9

The diagram shows a pentagon ABCDE.

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

Explained in step by step

Step-by-step explanation:

sum of Interior angles of pentagon: 180 x 3 = 540°

Regular pentagon has 5 congruent interior angles: 540 /5 = 108°

If EAB = 118° then ABCDE is not regular

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<u>Step-by-step explanation:</u>

Left picture:

opposite side of parallelograms are congruent (equal)

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<u>÷3 </u>   <u>÷3 </u>                      <u>      +1 </u>   <u>+1 </u>

  x = 6                          3y     = 27

                                  <u> ÷3      </u>   <u>÷3 </u>

                                         y  = 9

**************************************************************************

Right picture:

diagonals of a parallelogram bisect each other so the left side and right sides of each diagonal are congruent

20 = y + 7

<u>-7  </u>    <u>    -7  </u>

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                           16 = x + 13

                         <u> -13 </u>   <u>     -13  </u>

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4 0
3 years ago
2 Points
yuradex [85]

2 Points

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