Question

In figure AB perpendicular to AE, BC perpendicular AB, CE = DE and angle AED = 120
then find angle ECD
a) 80
b) 70
c) 85
d) 60
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Answer 1

Answer:

Step-by-step explanation:

Take the figure EADB which is a quadrilateral .

The total sum of angles of a quadrilateral = 360 degree —-(1)

Given: angle DEA = 120 degree

angle EAD = 90 degree ( AE is perpendicular to AB)

angle ABC = 90 degree ( BC is perpendicular to AB)

angle EDC or angle ECD = x ( EDC = ECD)

120 + 90 + 90 + x = 360 degree  

300 + x = 360 degree

x = 60 degree

Therefore angle ECD = 60 degree

OPTION : (d)

Answer 2

Answer:

120 + 90 +90 + x = 360

300 + x = 360

x = 360 - 300

x = 60

option ( d) is answer

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