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Answers
Answer:
Angle EDB = 65° (Vertically opposite angles are equal )
As we can see that a trapezium ABED is being formed so according to its property base angles that are EDB and ABD will be equal because base angles equal in trapezium, then ABD = 65°
So,
b +Angle CAB + Angle ABC = 180 ° (Angle sum property of triangle
b = 180-(65+50)
thus b = 180-115=65°
b = 65°
As Angle ABD = d because the angles are corresponding with parallel
d= 65°
And yes, AB = AC because the base angles are equal and so as per the property of isosceles triangle that the two sides opposite to the equal angles in isosceles triangle are equal.
Hence it is proved that AB is also equal to AC.
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Answer:
Angle EDB = 65° (Vertically opposite angles are equal )
As we can see that a trapezium ABED is being formed so according to its property base angles that are EDB and ABD will be equal because base angles equal in trapezium, then ABD = 65°
So,
b +Angle CAB + Angle ABC = 180 ° (Angle sum property of triangle )
b = 180-(65+50)
thus b = 180-115=65°
b = 65°
As Angle ABD = d because the angles are corresponding with parallel
d= 65°
And yes, AB = AC because the base angles are equal and so as per the property of isosceles triangle that the two sides opposite to the equal angles in isosceles triangle are equal.
Hence it is proved that AB is also equal to AC.