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Answer- The above question is from the chapter 'Triangle and its Properties'.
Concept used: 1. Angles opposite to equal sides are equal.
2. Sides opposite to equal angles are equal.
3. Angle Sum Property of a triangle which states that sum of all 3 angles of a triangle is 180°.
4. Sum of two or more angles on a straight line is 180°. [Linear Pair (for 2 angles)/Supplementary Angles (for 2 or more angles)]
Given question: 5. In the given figure below AN = AC. ∠BAC = 52°, ∠ACK = 84° and BCK is a straight line. Prove that NB = NC.
6. In the figure, AB = AC. Prove that BD = BC.
(Figures have been attached in the question.)
Solution: (Please see the following attachments.)
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