Math, asked by SheikhSaad117, 4 months ago

In triangle ABC, BÂC = 50 and BČCA = 26
Find ABC

Answers

Answered by Anonymous
3

Answer:

In triangle ABC, o is the circumcenter and angle BAC=85 and angle BCA=75. What is angle OAC equal to?

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Given that in ΔABC , ∠BAC=85∘ & ∠BCA=75∘

∴∠ABC=180∘−∠BAC−∠BCA

=180∘−85∘−75∘

=20∘

Now, by property of chord of circle that the angle subtended by any chord at the center of circle is equal to double the angle subtended by the same chord at any point in the corresponding segment of circle,

∴∠AOC=2∠ABC=2(20∘)=40∘

Now, in isosceles ΔAOC , ∠OAC=∠OCA

∴∠AOC+∠OAC+∠OCA=180∘

40∘+2∠OAC=180∘(∵ ∠OCA=∠OAC)

∠OAC=180∘−40∘2

=70∘

Answered by cyberboy2314
0

Answer:

ABC =124

Step-by-step explanation:

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