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Gwar [14]
2 years ago
12

The diagram shows FGCE is the image of ABCD under and isometry. Given BCG is a straight line, determine angle DCE

Mathematics
1 answer:
stiks02 [169]2 years ago
7 0

Answer:

D

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

∠ BCD = 360° - (90 + 90 + 113)° = 360° - 293° = 67°

ABCD and FGCE are congruent figures , then

∠ GCE = ∠ BCD = 67°

BCG isa straight line , so

∠ BCD + ∠DCE + ∠ GCE = 180° , that is

67° + ∠ DCE + 67° = 180°

∠ DCE + 134° = 180° ( subtract 134° from both sides )

∠ DCE = 46° → D

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