For the following questions answer them individually
Points A, B, C and D are concyclic points ofa circle with centre O, such that $$\angle DOC = 73^\circ$$. The measure of $$\angle ABC$$ is 215°. What is the measure of $$\angle AOD$$?
There are 90 students in a hostel. Due to new admissions, 30 new students join the mess and the daily expences of the mess increases by ₹560, while the average expenditure per head diminishes by ₹10. What was the original daily expenditure (in ₹) of the mess?
The angle of elevation of a ladder against a wall is $$45^\circ$$. The length of the laddder is 12 m. What is the distance between the wall and the foot of the ladder?
In a circle with center O, APB is a tangent at P, If MN is a diameter such that $$\angle BPN = 52^\circ$$, then what is the measure of $$\angle PNM$$?
Which of the following mountain ranges is home to the second-highest peak of the world, K2?
