Mathematics
In the adjoining diagram ∠DOE = 46° and ∠BGH = 113°.
(a) Find ∠DBC and ∠DCE.
(b) Prove that CBGH is a cyclic quadrilateral.

Related Questions
A retailer purchased an air conditioner (A.C.) for ₹30,000. He marked up its price by 20% and then allows a discount of 10% on the marked price to a customer. If the sale is intra-state and the rate of GST is 28%, find the:
(a) marked price of A.C.
(b) total amount paid by the customer including GST.
(c) tax collected by the central and the state governments respectively.
The table given below shows a record of the weight in kilogram of 200 students of a school.
Weight(kg) Number of students 40 - 45 8 45 - 50 19 50 - 55 24 55 - 60 45 60 - 65 51 65 - 70 31 70 - 75 22 Draw a histogram and find the modal weight.
[Take 2 cm = 5 kg along one axis and 2 cm = 5 students along the other axis]