measure of the minor arc is 120° find the corresponding major arc
Answers
Answered by
3
Answer:
240 degrees
Step-by-step explanation:
major = 360-120
= 240 degrees
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Answered by
14
Given:-
- Measure of the minor arc is 120°.
To find:-
- Corresponding major arc.
Solution:-
Let,
- the minor arc be ∠AOB.
→ ∠AOB = 120°
→ ∠AOB = 2 ∠ADB
→ 120° = 2 ∠ADB
→ ∠ADB = 120/2
→ ∠ADB = 60°
Now,
- finding the corresponding major arc.
→ Reflex - ∠AOB = 2 ∠C
→ 360° - 120° = 2 ∠C
→ 240° = 2 ∠C
→ ∠C = 240/2
→ ∠C = 120°
Hence,
- the corresponding major arc is 120°.
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