.Q2. In figure, if I || m, ZABC = ZABD = 40° and
ZBAD = 90°, then prove that angle BCD is an
isosceles triangle.
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In the figure ,if l||m, ∆abc=∆abd=40° and ∆bad =90°,then prove that ∆ bcd is an isosceles triangle
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Answer:
It is an isosceles triangle
Step-by-step explanation:
In triangle CAB and Triangle BAD,
∠CAB=∠DAB =90°
∠CAB=∠ABD=40° and
AB is the common side.
∴ Triangle CAB≅Triangle ABD by ASA
By C.P.C.T, ∠ACB = ∠ADB
∴ CB = BD
∴ Triangle BCD is an isosceles Triangle
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