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Geometry (Pri-6)

/ Angles in Geometric Figures Palm View Primary School / SA2 (2017)
wo identical isosceles triangles, ABC and ADE, overlapped as shown in the figure below. Given that BA BC, DA DE and 4 COD 54, find CAE. 540
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August 10, 2018
 
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Answer 1 Comments 1
Aug 11, 2018 12:41 AM
GUIDE: note that the 2 isosceles triangles (while they may not be the same size) share similar angles. Figure out which ones. Then look at big triangle ACE to solve

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EAD = AED = CAB = BCA---We know the sum of the 2 outside angles = 180 - 126 = 54°---Looking at the biggest triangle AEC, let 3 blue angles be U each3 U + 54 = 180°U = 126 ÷ 3 = 42°  (ans)
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August 11, 2018
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