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A circle with the centre O has been inscribed with the quadrilateral ABCD. CD is produced to E in a way that Angle ADE IS 95 and angle OBA is 30 . Find angle OAC?
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A circle with the centre O has been inscribed with the quadrilateral A...
Solution:
Given:
- A circle with center O inscribed in quadrilateral ABCD.
- CD is produced to E.
- Angle ADE is 95°.
- Angle OBA is 30°.
To find: Angle OAC
Step 1: Understanding the problem
- We have a circle with center O inscribed in quadrilateral ABCD.
- We need to find angle OAC.
Step 2: Analyzing the given information
- Angle OBA is given as 30°.
- Angle ADE is given as 95°.
Step 3: Finding the relationship between angles
- In a circle, the angle subtended by an arc at the center is twice the angle subtended by the same arc at any point on the circumference.
- Therefore, angle OAC is half of angle ADE.
- So, angle OAC = 95° / 2 = 47.5°.
Step 4: Answer
- The angle OAC is 47.5°.
Given:
- A circle with center O inscribed in quadrilateral ABCD.
- CD is produced to E.
- Angle ADE is 95°.
- Angle OBA is 30°.
To find: Angle OAC
Step 1: Understanding the problem
- We have a circle with center O inscribed in quadrilateral ABCD.
- We need to find angle OAC.
Step 2: Analyzing the given information
- Angle OBA is given as 30°.
- Angle ADE is given as 95°.
Step 3: Finding the relationship between angles
- In a circle, the angle subtended by an arc at the center is twice the angle subtended by the same arc at any point on the circumference.
- Therefore, angle OAC is half of angle ADE.
- So, angle OAC = 95° / 2 = 47.5°.
Step 4: Answer
- The angle OAC is 47.5°.
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A circle with the centre O has been inscribed with the quadrilateral ABCD. CD is produced to E in a way that Angle ADE IS 95 and angle OBA is 30 . Find angle OAC?
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A circle with the centre O has been inscribed with the quadrilateral ABCD. CD is produced to E in a way that Angle ADE IS 95 and angle OBA is 30 . Find angle OAC? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A circle with the centre O has been inscribed with the quadrilateral ABCD. CD is produced to E in a way that Angle ADE IS 95 and angle OBA is 30 . Find angle OAC? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle with the centre O has been inscribed with the quadrilateral ABCD. CD is produced to E in a way that Angle ADE IS 95 and angle OBA is 30 . Find angle OAC?.
A circle with the centre O has been inscribed with the quadrilateral ABCD. CD is produced to E in a way that Angle ADE IS 95 and angle OBA is 30 . Find angle OAC? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A circle with the centre O has been inscribed with the quadrilateral ABCD. CD is produced to E in a way that Angle ADE IS 95 and angle OBA is 30 . Find angle OAC? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle with the centre O has been inscribed with the quadrilateral ABCD. CD is produced to E in a way that Angle ADE IS 95 and angle OBA is 30 . Find angle OAC?.
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