Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.


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°

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.