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lesantik [10]
2 years ago
5

Can someone help me solve this geometry problem down below?

Mathematics
1 answer:
TiliK225 [7]2 years ago
7 0

Answer:

x = 29

Step-by-step explanation:

Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.

Therefore:

m<CAB = m<CDE = 74°

m<ABC = 2x (given)

m<BCA = 48° (given)

Thus:

m<CAB + m<ABC + m<BCA = 180° (sum of triangle)

Substitute

74 + 2x + 48 = 180

Add like terms

2x + 122 = 180

2x + 122 - 122 = 180 - 122

2x = 58

2x/2 = 58/2

x = 29

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Mnenie [13.5K]

Answer:

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Step-by-step explanation:

<u><em>The question with some background info added:</em></u>

  • <em>When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape. (The carpenter's tape measure does not display inches) </em>
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