А
D
E
95°
45°
B
In the figure above, ABC and CDE are
equilateral triangles. Find ZADE in
degrees
options
35
30
40
a
45
Answers
Answered by
0
Step-by-step explanation:
Angle DEC = 60
Angle DEA = 120 (180-DEC = supplementary angle)
Also CEF = 60+Y = Angle EBC + Angle ECB
60+Y = 60+EBC
EBC = Y
Hence we can say,
ED is parallel to BC (alternate angles)
Extend ED till it cut AB at H
Such that angle HEA = angle CED = 60° (opposite angle)
Now. AHE is an equilateral triangle too.
AE = ED
In triangle AED
Angle AED + EAD + EDA = 180
120 + 2EAD = 180
2EAD = 60
EAD = 30°
Draw an altitude EG such that it meet AD at G and
Extend EG such that it meet BC at I.
Now HBEI is a parallelogram, whose opposite angles are equal.
Answered by
0
Answer:
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please attach the same
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