WebOct 12, 2024 · For any circle, the angle between a tangent and a chord through the point of contact of the tangent is equal to the alternate segment. Calculation: According to the formula ∠AOC = 2∠ABC ⇒ 118° = 2∠ABC ⇒ ∠ABC = 118°/2 ⇒ ∠ABC = 59° Also, ∠ABC = ∠ACD ⇒ ∠ACD = 59° ∴ ∠ACD is 59°. Download Solution PDF Share on Whatsapp Latest … WebSolution. 90°. We have to find ∠AOC. As we know that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part …
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WebMay 16, 2024 · In Fig., ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to: (A) 30º (B) 45º (C) 90º (D) 60º asked Aug 19, 2024 in Circles by Sima02 ( 49.6k points) circle WebOct 7, 2024 · Answer: If ∠ABC = 20⁰, then ∠AOC = 40⁰ . Step-by-step explanation: Inscribed Angle Theorem states that, "An angle inscribed in a circle at its circumference is equal to …
WebThe correct option is (d): 60∘ We have: OA=OB (Radii of a circle) ⇒ ∠OBA= ∠OAB=20∘ In OAB, we have: ∠OAB+∠OBA+∠AOB= 180∘ (Angle sum property of a triangle) ⇒ 20∘+20∘+∠AOB=180∘ ⇒ ∠AOB= (180∘−40∘)= 140∘ Again, we have: OB= OC (Radii of a circle) ⇒ ∠OBC =∠OCB= 50∘ In OCB, we have: ∠OCB+∠OBC+∠COB=180∘ (Angle sum property of … WebCorrect option is A) ∵OA=OB (radius of circle) ∴∠OAB=∠OBA (angles opposite to equal sites) ∠OBA=40 0 In right angled ΔOAB ∠OAB+∠OBA+∠AOB=180 0 40 0+40 0+∠AOB=180 0 ∠AOB=180 0–80 0 ∠AOB=100 0 We know that ∠ACB= 21∠AOB = 21×100 0=50 0 Thus, (A) is correct. Was this answer helpful? 0 0 Similar questions
WebMay 25, 2024 · If ∠ABC = 90°, then find ∠AOC. Solution: ∵ AD and CE are the bisector of ∠A and ∠C In ∆AOC, ∠AOC + ∠OAC + ∠OCA = 180° ⇒ ∠AOC + 45o = 180° ⇒ ∠AOC = 180° – 45° = 135°. Question 3. In the given figure, prove that m n. Solution: In ∆BCD, ext. ∠BDM = ∠C + ∠B = 38° + 25° = 63° Now, ∠LAD = ∠MDB = 63° But, these are corresponding angles. … WebIn figure, if ∠ABC = 20°, then ∠AOC is equal to (a)20° (b) 40° (c) 60° (d)10° Thinking Process Use the theorem, that in a circale the angle subtended by an arc at the centre is twice the …
WebAug 19, 2024 · ∠ABC = 20° We know that, “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” According to the …
WebMCQ In the given figure, if ∠ ABC = 45°, then ∠ AOC = Options 45° 60° 75° 90° Advertisement Remove all ads Solution 90° We have to find ∠AOC. As we know that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle. ∠ A O C = 2 ∠ A B C = 2 × 45 = 90° packplus indiaWebIn figure, if ∠ABC = 20º, then ∠AOC is equal to 40º. Explanation: Given: ∠ABC = 20° By theorem “The angle subtended by an arc at the center of a circle is twice the angle … packoutz grand junctionWebApr 7, 2024 · Find out the what does ∠ ACB equal . ... Option (A) is correct . Advertisement Advertisement yerena yerena If A is on the circle somewhere, and O is the center, then angle ABC is inscribed, which makes its measure be half of that of angle AOB, which is a central angle. ... 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55 A graph titled ... packplus south 2021WebAs the angle subtended by an arc at the centre is twice the angle subtended by it at the remaining part of the circle ∠AOB = 2 ∠ACB Substituting the values 100º = 2 ∠ACB Dividing both sides by 2 ∠ACB = 50º Therefore, ∠ACB is equal to 50º. Try This: If ∠OAB = 50º, then ∠ACB is equal to : ☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 10 lspd stock cadWeb∠ABC = 20° We know that, “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” According to the theorem, we … packouttm m12tm battery rackWebApr 30, 2024 · In the given figure, ∠AOC and ∠BOC form a pair of (a) vertically opposite angles (b) complementary angles (c) alternate interior angles (d) supplementary angles Solution: (d) ∠AOC and ∠BOC form a pair of supplementary angles. Question 26. In the given figure, the value of a is (a) 20° (b) 15° (c) 5° (d) 10° Solution: (d) We have, packouttm m18tm battery rackWebIn figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to 60º. Explanation: In ΔOAB, ∠OAB + ∠ABO + ∠BOA = 180° ∠OAB + ∠OAB + 90° = 180° ⇒ 2∠OAB = 180° – 90° ...... [Angles opposite to equal sides are equal] [Angle sum property of a triangle] [From equation (i)] ⇒ ∠OAB = 90 ∘ 2 = 45° ...... (i) In ΔACB, ∠ACB + ∠CBA + ∠CAB = 180° packouz and diveroli