9) In triangle ABC, AB= AC and angle B = 40° and AD is the median then find angle BAD.
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d is 90 degree b 40 degree a 50 degree please follow me
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The measurements of ∠BAD = 50°
Given:
In triangle ABC,
AB= AC and ∠B = 40°
AD is the median
To find:
The measurement of ∠ BAD
Solution:
In Triangle ABC
AB= AC
⇒ ∠ABC = ∠ACB = 40° ---(1) [ angles opposite to equal side are equal ]
As we know sum of angles in a triangle = 180°
In triangle ABC
∠BAC +∠ABC + ∠ABC = 180°
∠BAC +40° + 40° = 180° [ From(1)]
∠BAC = 100
Here, median AD will divides ∠BAC equally [ since AB = AC]
∠BAD = ∠BAC/2 = 100°/2 = 50°
Therefore, ∠BAD = 50°
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