Prove that: angle AXD = 1/2 (arc AD - arc Bc)

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Q. In the given triangle ABC, AD is perpendicular to BC, and CE is perpendicular to AB. Prove that angle BDE = angle BAC. Soln: i) ACDE is a cyclic quadrilateral. i) ÐAEC = ÐADC = 90 degree (Angles in the same segment of a circle ...
After 10% deviation of Nepali money, $2000 can be exchanged by Rs. 231000. Find the initial exchange rate. Soln: ...
40 marbles are equally divided among a certain number of children. If there were 2 children less, each would have received 1 more marble. Find the number of children. Soln: Let number of children be x. Then each student will get 40/x If there were 2 children less i.e x-2 then each woul ...
Simplify: Soln: ...
In a survey one third of children like only mango and 22 don't like mango at all.Also,2/3 children like orange but 12like none of these -show in venn diagram. -how many children like both types of fruits. Soln: ...