Wdcshaeidn
Answered

Find the best solutions to your problems with the help of IDNLearn.com. Get prompt and accurate answers to your questions from our community of knowledgeable experts.

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

A. 36°
B. 67°
C. 54°
D. 46°​

The Diagram Shows FGCE Is The Image Of ABCD Under And Isometry Given BCG Is A Straight Line Determine Angle DCE A 36B 67C 54D 46 class=

Sagot :

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

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.