biggydog04
biggydog04 biggydog04
  • 08-01-2021
  • Mathematics
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In the diagram, AGEF and AHEF are congruent. What is the value of x? A. 60 B. 41 C. 28 D. 30​

In the diagram AGEF and AHEF are congruent What is the value of x A 60 B 41 C 28 D 30 class=

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jimthompson5910 jimthompson5910
  • 08-01-2021

Answer: C) 28

Explanation:

The triangles are congruent, so the corresponding pieces are congruent. Specifically the angles on the right side are congruent, as shown by the tickmarks they have in common.

Set those two expressions equal to one another. Solve for x.

2(x+2) = 60

2x+4 = 60

2x = 60-4

2x = 56

x = 56/2

x = 28

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