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battlemarshmell
29.01.2020 •
Mathematics
Using the figure above, if< a = < d, then< b < e.
choose the relationship symbol that makes the statement true.
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Ответ:
The relationship symbol that makes the statement true is '>'.
Step-by-step explanation:
Given,
In triangles ABC and EDF,
∠A = ∠D
Since, the sum of all interior angles of a triangle is supplementary,
⇒ ∠A + ∠B + ∠C = 180° and ∠D + ∠E + ∠F = 180°
⇒ ∠A = 180° - ∠B - ∠C and ∠D = 180° - ∠E - ∠F,
By substituting the values,
180° - ∠B - ∠C = 180° - ∠E - ∠F
- ∠B - ∠C = - ∠E - ∠F
∠B + ∠C = ∠E + ∠F
∠B + 20° = ∠E + 30° ( given ∠C = 20° and ∠F = 30° )
∠B = ∠E + 10°
⇒∠B > ∠E
Hence, the relationship symbol that makes the statement true would be '>'.
Ответ: