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Q.

ABC is an isosceles triangle, such that BA = BC and BD is the median to base AC. Then what is the measure of ∠ABD?


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a

120°

b

50°

c

34°

d

90° 

answer is B.

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Detailed Solution

Given, ABC is an isosceles triangle, such that BA = BC and BD is the median to base AC.
Question ImageSince, BD is the median to base AC.
Thus, ∠ABD = 90°.
By using the angle sum property, ∠ADB + ∠BAD + ∠ABD = 180°.
⇒ 90° + 40° + ∠ABD = 180°
⇒ ∠ABD = 50°
Hence, option 2 is correct.
 
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