Question

In figure if AE || DC and AB = AC, find the value of ∠ABD.​

Answer 1

Answer:

wht filters ha.........

Answer 2

Solution :-

given that,

→ ∠ at line segment EA = 50°

So,

→ ∠ACB = 50° { since AE || DC , corresponding angles }

then,

→ ∠ABC = ∠ACB { since AB = AC , angle opposite to equal sides are equal in measure . }

→ ∠ABC = 50°

therefore,

→ ∠ABC + ∠ABD = 180° { Linear pair }

→ 50° + ∠ABD = 180°

→ ∠ABD = 180° - 50°

→ ∠ABD = 130° (Ans.)

Learn more :-

In the figure along side, BP and CP are the angular bisectors of the exterior angles BCD and CBE of triangle ABC. Prove ∠BOC = 90° - (1/2)∠A .

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