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DF
bisects LEDG. Find the value of x. The diagram is not to scale.

DF bisects LEDG. Find the value of x. The diagram is not to scale.-example-1

2 Answers

2 votes
The answer is x=6
Hope it help
User Adrian Ghiuta
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6.2k points
5 votes

Answer:

x = 6

Explanation:

Since ray DF bisects angle EDG, angles EDF and GDF are congruent. By reflexive property of congruence, ray DF is congruent to ray DF. Since all right angles are congruent, angles FED and FGD are congruent. By AAS, triangles FED and FGD are congruent. Since corresponding parts of congruent triangles are congruent, segments EF and GF are congruent, so 8x + 42 = 15x

7x = 42

x = 6

User Jrefior
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5.7k points