Question
In triangle △ ABC, the internal angle bisectors of ∠
B and ∠ C intersect at point OO. If the measure of ∠ BAC = 50o , determine the measure of ∠ BOC.Solution
Let ∠ ABC = 2xo and ∠ ACB = 2yo Sum of all the angles of a triangle is 180o So, ∠ BAC + ∠ BCA + ∠ CBA = 180o Or, 50o + 2x + 2y = 180o Or, 2x + 2y = 130o Or, x + y = 65o Again, in ΔBOC, ∠ BOC + ∠ BCO + ∠ CBO = 180o So, ∠ BOC + x + y = 180o So, ∠ BOC = 180o – 65o = 115o
Select the option that can be used as a one-word substitute for the given group of words.
Photographers who follow celebrities to get their pictu...
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recommend
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FASCINATION
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PERSEVERANCE
Select the most appropriate SYNONYM of the given word in bold
Clandestine
A) Subtle B) Oblivion C) Naive D) Slight
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She has a gregarious personality and loves meeting new people.
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Transparent Select the most appropriate Synonym of the given word.
Callous
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