Question

3. Solve the following.
a. Convert 2/ 7 into pictorial form​

Answer 1

Step-by-step explanation:

$We \: know \: that \, // Sum \: of \: angles \: of \: a \: quadrilateral \: is \: = \: 360° \\ \\ In \: the \: quadrilateral ABCD \: \\ Given \: : \:∠C =96° \: and \:  ∠D = 100° \\ \: ∠A + ∠B + ∠C + ∠D = 360° ∠A + ∠B + 96° + 100° = 360° \\ \: ∠A + ∠B = 360° – 196° \: \\ ∠A + ∠B = 164°  \: ……. \: (Equation 1) \: \\ \\ Now \: in \: Δ APB \: \\ \\ ½ ∠A + ½ ∠B + ∠APB = 180°  \: (since, \: sum \: of \: triangle \: is \: 180°) \: \\ ∠APB = 180° – ½ (∠A + ∠B) \: ……… \: (Equation 2) \: \\ On \: substituting \: value \: of  \: \\ ∠A + ∠B = 164°  \: from \: equation \: (1)\: in \: equation \: (2) \: \\ ∠APB = 180° – ½ (164° ) = 180° – 82° = 98° \\ \\ ∴ The \: measure \: of \: ∠APB \: is \: 98°.</p><p>$

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