Question

In a circle with the centre O and chord AB, If angle OAB is 40°, what is the measure of angle OBA ? Why? What is the measure of Angle AOB ?​

Answer 1

Answer:

Step-by-step explanation:

AB is the chord.

<AOB = 40

now in Triangle AOB,

<OAB = <OBA .....since OA and OB are of same length = radius

so

<AOB + <OAB + <OBA = 180

=> <OAB + <OBA = 180-40

=> 2<OAB  = 140

=> <OAB = 70 = <OBA

all angles are 40 so AOB s an equilateral triangle

hence all sidesare are equal

so

 AB = OB = OA = radius = Half of diameter

Answer 2

Answer:

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