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
More Triangle Questions
(22 + √3364)/(? + 4) = 10
28(4/5) + 52(1/2) × 8(2/7) - 11(1/5) = ? + 6(1/5)
(8.6 × 8.6 + 4.8 × 4.8 + 17.2 × 4.8) ÷ (8.62 – 4.82 ) = ? ÷ 19
The value of 42 ÷ 9 of 6 - [64 ÷ 48 x 3 – 15 ÷ 8 x (11 – 17) ÷ 9] ÷ 14 is:
(21 × 51 + 81)/(9 × 14 - 30) = ?
{(481 + 426) 2 - 4 × 481 × 426} = ?
- Find the simplified form of the following expression:
128 - 85 of 2 + 26 X 4 ?% of (168 ÷ 8 × 20) = 126
What will come in the place of question mark (?) in the given expression?
? = (27 × 13) – 26% of (412 – 92 )
82% of 400 + √(?) = 130% of 600 - 85% of 400
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