2020 TJC IP1 FM EOY Q11

2020 TJC IP1 FM EOY Q11

IP 1
6 marks
  1. The figure below shows \(\triangle ABC\). By forming an equation in \(x\), find the value of \(x\).[2]
    1. Find the sum of the interior angles of a heptagon. [A heptagon is a polygon with seven sides.][1]
    2. Four of the exterior angles of this heptagon are \(50^\circ\), while the others are \((x+7)^\circ\), \((x+9)^\circ\) and \((2x+12)^\circ\). Find the largest interior angle of this heptagon.[3]

Solution:

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Answer:(a) \(x=13\) (b)(i) \(900^\circ\) (ii) \(140^\circ\)

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