plz make this queation .how is it 15 °
Answers
Answer:
why cant it be 15 degree ???
its right i can prove that too
Given: ABCD is a square and EDC is an equilateral triangle.
To prove: AE=BE and ∠DAE = 15 DEGREE
Proof: In triangle ADE AND BCE
AD=BD ( Side of same square)
∠ADE=∠BCE (Each angle is 150°)
DE=BE ( Side of same equilateral triangle)
So, by SAS congruence both are congurent
Therefore, AE=BE (By CPCT )
Hence Proved
In triangle ADE
AD=DE
(If sides of a triangle are equal then their opposites angles are equal)
∠DAE=∠DEC
In triangle ADE By angle sum property we can say that
∠DAE +∠DEC +∠ADE = 180
2∠DAE + 150 = 180
2∠DAE = 180 -150
2∠DAE = 30
∠DAE = 30/2 =15
HENCE PROVED
HOPE IT HELPS!!!!!!!!!!
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