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
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1528, 1416, 1204, ?, 480, -32
143 119 107 101 98 ?
96 89 ? 90 94 91
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19, 235, 260, 324, 333, ?
What will come in place of the question mark (?) in the following series?
305...
In each of the following number series, one term is missing. Find the missing term.
3, 5, 20, 24, 144, 150, ?
1029, 1030, 1039, 1064, ?, 1194
75, 80, 95, ?, 155, 200
What will come in place of the question mark (?) in the following series?
1515, 184, ?, 455, 967, 624
7 29 61 ? 211 349
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