Question

Triangle ABC is inscribed in a circle and AD perpendicular to BC meets BC at D and AD produced meet at the circle at l if if angle ABD is 35 degree then find the measure of angle BCL

Answer 1

Given :- Triangle ABC is inscribed in a circle and AD perpendicular to BC meets BC at D and AD produced meet at the circle at l if if angle ABD is 35 degree then find the measure of angle BCL ?

Solution :-

with given information, making diagram first. {Refer to image.}

since AD ⟂ BC, in ∆ADB, we have ,

→ ∠ADB = 90°

→ ∠ABD = 35°

So,

→ ∠BAD = 180° - (90° + 35°) {By angle sum Property.}

→ ∠BAD = 180° - 125°

→ ∠BAD = 55°

Now, we know that,

• The angles subtended by the chord on the same segment are equal.

Therefore,

→ ∠BAD = ∠BCL

Hence,

→ ∠BCL = 55° (Ans.)

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Answer 2

Answer:

hope it's help full for u