मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ९

In figure ∠ABC = 120°, where A, B and C are points on the circle with centre O. Find ∠OAC? - Mathematics

Advertisements
Advertisements

प्रश्न

In figure ∠ABC = 120°, where A, B and C are points on the circle with centre O. Find ∠OAC?

बेरीज

उत्तर

Reflex ∠AOC = 2∠ABC

= 20 × 120°

= 240°

∴ ∠AOC = 360° – 240°

= 120°

∠OCA + ∠OAC = 180° – 120°

= 60°

∴ ∠OAC = `60/2`

= 30° ...(Since OA = OC)

shaalaa.com
Converse: If a Pair of Opposite Angles of a Quadrilateral is Supplementary, Then the Quadrilateral is Cyclic.
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Geometry - Exercise 4.4 [पृष्ठ १७३]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 4 Geometry
Exercise 4.4 | Q 7 | पृष्ठ १७३
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×