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24 votes
24 votes
This is a question for geometry and its pretty hard.

This is a question for geometry and its pretty hard.-example-1
User Grogi
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1 Answer

5 votes
5 votes

Answer:

m EAD = 56

m EDA = 35

x = 4

Explanation:

In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.

2x + 3 = 11

2x = 8

x = 4

Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35

User Enver
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