Quadrilateral DEFG is a rhombus and m value of p

Solution:Note that:Opposite angles are always equal.The sum of the degrees in a quadrilateral is 360°This means that:∠F = ∠D = 62°∠E = ∠G = 5p + 49∠F + ∠D + ∠E + ∠G = 360Solving for p.∠F + ∠D + ∠E + ∠G = 360=> 62 + 62 + 5p + 49 + 5p + 49 = 360=> p(5 + 5) + (62 + 62 + 49 + 49) = 360=> p(10) + (222) = 360=> 10p + 222 = 360=> 10p = 360 - 222=> 10p = 138=> 10p/10 = 138/10=> p = 13.8Check:∠E = ∠G = 5p + 49=> ∠E = ∠G = 5(13.8) + 49=> ∠E = ∠G = 69 + 49=> ∠E = ∠G = 118°=> ∠F + ∠D + ∠E + ∠G = 360=> 62 + 62 + 118 + 118 = 360=> 360 = 360 (True)

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