Question
In a ΔABC, the internal bisectors of ∠B and ∠C meet
at point O. Find the measure of ∠BOC if the measure of ∠BAC = 50 ° .Solution
Let ∠ABC = 2x o  and ∠ACB = 2y o
Sum of all the angles of a triangle is 180 o
So, ∠BAC + ∠BCA + ∠CBA = 180 o
50 o + 2x + 2y = 180 °
2x + 2y = 130 °
x + y = 65 °
Again, in ΔBOC, ∠BOC + ∠BCO + ∠CBO = 180 o
So, ∠BOC + x + y = 180 °
So, ∠BOC = 180 °  – 65 °  = 115 °
A car travels 240 km in 4 hours. After 2 hours, it increases its speed by 20 km/h and covers the remaining distance in 1 hour. What is the speed of the ...
Anuj, Bittu, and Chintu can individually complete a certain task in 84 days, 105 days, and 60 days, respectively. They all begin working together, but B...
The speeds of 'Pawan' and 'Qureshi' are in the ratio of 8:5. If the total time they take to individually cover 400 km each sums up to 65 hours, what is ...
The ratio of speeds of ‘E’ and ‘F’ is 11:5, respectively. If the sum of time taken by them to travel 550 km each is 80 hours, then find the diff...
- From a total of 280 km, Sumit covered some distance by train at 70 km/h and the rest by bus at 35 km/h. If the entire trip took 5.8 hours, how much distanc...
A truck initially moving at 45 km/hr increased its speed by 9 km/hr after ‘w’ hours and continued for (w + 10) hours more. If...
A can complete a work in 15 days, and B can complete the same work in 20 days. If they work together for 6 days, what fraction of the work is left?
A man takes a total of 5 hrs 30 min by walking to a certain place and coming back by cycle. He would have gained 2 hrs 30 min by cycling both the ways. ...
yoti, Kavya, Shivam and Manish start walking from the same point in the same direction around a rectangular track and each one of them completes one rou...
The diameter of a wheel W is 63 cm. It completes 1000 rotations in 1 minute. Find the speed of the vehicle.
Relevant for Exams:
