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Angle ABC = 90 (right angle)
TriAngle BDC = sum of angle BDC + DCB + DBC
DBC = half of angle ABC = 45
BDC = 90 (right angle)
DCB or ACB = X
Triangle BDC=90+X+45 = 180
X=180-135
X= 45
Since we can say that angle ABD = ACB
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Hii There!!!!
In ∆ ABD and ∆ACB,
angle BDA = angleBDC ( 90° each)
angle ABD = angle DBC ( BD perpendicular to AC and AC bisects angle B )
Angle A = angle A (common)
Therefore By AAA congurency criteria,
∆ ABD is congruent to ∆ ACB.
By CPCT , angle ABD = angle ACB.
______________________
Hope it helps☺
In ∆ ABD and ∆ACB,
angle BDA = angleBDC ( 90° each)
angle ABD = angle DBC ( BD perpendicular to AC and AC bisects angle B )
Angle A = angle A (common)
Therefore By AAA congurency criteria,
∆ ABD is congruent to ∆ ACB.
By CPCT , angle ABD = angle ACB.
______________________
Hope it helps☺
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