WebQuestion In given figure, if ∠OAB = 40 ∘, then ∠ACB is equal to A 50 ∘ B 40 ∘ C 60 ∘ D 70 ∘ Medium Solution Verified by Toppr Correct option is A) In a circle OA=OB= Radius So, ∠OAB=OBA=40 ° Therefore, ∠AOB=180 °−40 °−40 °=100 ° We know in a circle the angle subtended by an arc at the center is twice that of the angle made on the circle. WebIn Fig.10.4, if ∠ABC = 20º, then ∠AOC is equal to: a. 20º b. 40º c. 60º d. 10º Solution: We know that Angle at the centre of the circle is twice the angle at the circumference …
In Fig. 9.4, AB is a chord of the circle and AOC is its ... - Cuemath
WebIn Fig. 9.4, AB is a chord of the circle and AOC is its diameter such that ∠ACB = 50°. If AT is the tangent to the circle at the point A, then ∠BAT is equal to a. 65°, b. 60°, c. 50°, d. 40° Summary: In Fig. 9.4, AB is a chord of the circle and AOC is its diameter such that ∠ACB = … WebSolution Given, ∠OAB=30∘ and ∠OCB= 57∘ In ΔAOB, AO = OB [both are the radius of the same circle] ⇒ ∠OBA= ∠BAO=30∘ [angles opposite to equal sides are equal] ⇒ ∠AOB+∠OBA+∠BAO=180∘ [by angle sum property of a triangle] ∴ ∠AOB+30∘+30∘ =180∘ ∴ ∠AOB= 180∘−2(30∘) ∠AOB=180∘−60∘ = 120∘ ........... (i) Now, in ΔOCB, OC = OB [both are … friedan writes the feminine mystique
In figure, if ∠ABC = 20°, then ∠AOC equals - Sarthaks
WebGiven: ∠ABC = 20°. By theorem “The angle subtended by an arc at the center of a circle is twice the angle subtended by it at remaining part of the circle”, we have: ∠AOC = 2 × … WebApr 28, 2024 · In the given figure, O is the centre of a circle in which ∠OAB = 20° and ∠OCB = 55°. Find (i) ∠BOC, (ii) ∠AOC. LIVE Course for free. Rated by 1 million+ students Get app now Login. ... The base angles of an isosceles triangle are equal. So we get. ∠OBA= ∠OAB = 20 o. In AOB. Using the angle sum property. ∠AOB + ∠OAB + ∠OBA ... WebAug 19, 2024 · (D) 60º. Given: ∠AOB = 90°, ∠ABC = 30° OA and AB are radius and are equal, ∴ ∠OAB = ∠OBA = x (say) (∵ angles opposite to equal sides are equal) In triangle OAB, using the angle sum property, sum of all angles of triangle is 180°. fatuousness definition