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Answers
Step-by-step explanation:
I think angle DAE is 60°
hope it will help you
Answer:
22.5 deg
Step-by-step explanation:
given: ABCD is a square with BD as its diagonal
: AD = ED
Since ABCD is a parallelogram, The diagonal BD bisects the angle D.
= <ADB = <ADC/2 = 90/2 = 45 *
since the line BD is extended, and BDE is a line segment, we can say that <ADE and <ADB is a linear pair.
So, 180 - <ADB = <ADE
= 180 - 45 = 135 - (1)
Now, we know that AD=DE and ADE is a triangle.
So, <DAE = <DEA - (2)
and <DAE + <DEA = 45 (exterior angle-sum property)
= 2(<DAE) = 45
= <DAE = 45/2 = 22.5
OR!
<DAE + <DEA + <ADE = 180 (angle-sum property of a triangle)
= 2(<DAE) + <ADE = 180
= 2(<DAE) + 135 = 180
= 2(<DAE) = 180 - 135 = 45
= <DAE = 45/2 = 22.5
Therefore, <DAE = 22.5
Hope this explanation was what you were looking for :)