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A, B, C and D are points on a circle, centre o
AOC is a diameter of the circle.
a
Angle BAC = 55°
Work out the size of angle ADB
Give a reason for each stage of your working.

A B C And D Are Points On A Circle Centre O AOC Is A Diameter Of The Circle A Angle BAC 55 Work Out The Size Of Angle ADB Give A Reason For Each Stage Of Your class=

Sagot :

Semsee45idn

Answer:

∠ADB = 35°

Step-by-step explanation:

The angle at the circumference in a semicircle is a right angle.

⇒ ∠ABC = 90°

Interior angles in a triangle sum to 180°

⇒ ∠BAC + ∠ABC + ∠BCA = 180°

⇒ 55° + 90° + ∠BCA = 180°

⇒ ∠BCA = 35°

The angles at the circumference subtended by the same arc are equal (angles in the same segment are equal)

⇒ ∠ADB = ∠BCA

⇒ ∠ADB = 35°

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