Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.


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 :

semsee45

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°

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.