Math, asked by choudharyruvi53, 3 months ago

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surajsarkaar8998: 120* degree

choudharyruvi53: but how?

HarshithScamander: I answered with procedure, mark me Brainliest

HarshithScamander: Mark my answer Brainliest, please

HarshithScamander: If you mark my answer Brainliest, you will also receive 2 points

HarshithScamander: Mark my answer Brainliest

Answers

Answered by phenom001

Answer:

ACB = 60°

Step-by-step explanation:

HOPE IT HELPS YOU.

surajsarkaar8998: 《B=60

surajsarkaar8998: because 《B is devided in two part by the line AB

surajsarkaar8998: so 《ABO+《ABC= 60

surajsarkaar8998: 30*+《ABC=60*

surajsarkaar8998: 《ABC=60-30

surajsarkaar8998: so 《ABC=30*

HarshithScamander: Angle ACB is needed, not ABC

surajsarkaar8998: i am just solving one side.

surajsarkaar8998: okey

HarshithScamander: Your answer is also wrong, it is 120

Answered by HarshithScamander

Answer:

b) 120°

Step-by-step explanation:

Consider ΔAOB

In it, OA = OB, as they are both radii of the circle

So, ΔAOB is isosceles

As ΔAOB is isosceles, ∠BAO = ∠ABO

Given that ∠OBA = 30°

So, ∠BAO = ∠ABO = 30°

Now,

Sum of angles in ΔAOB = 180°

⇒ ∠AOB + ∠ABO + ∠BAO = 180°

⇒ ∠AOB + 30° + 30° = 180°

⇒ ∠AOB = 180° - 30° - 30° = 120°

Now,

Reflex of ∠AOB = Reflex ∠AOB = 360° - ∠AOB = 360° - 120° = 240°

We know that,

The angle subtended by an arc at the center of a circle is equal to two times the angle subtended by the same arc at a point on the circumference of the circle.

So,

Reflex ∠AOB = 2 ∠ACB

⇒ 240° = 2 ∠ACB

⇒ ∠ACB = 240°/2 = 120° (Option - b)

Hope it helps!!! Please mark Brainliest!!!

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