Question

Two opposite angle of parollogram are 3x-2 and 50-x .find the measure of each angle of parollogram. solution the question

Answer 1

$as \: the \: opposite \: sides \: of \: a \: parallelogrm \: are \: equal \\ 3x - 2 = 50 - x \\ 3x + x = 50 + 2 \\ 4x = 52 \\ x = 13 \\angle \: a = (3 \times 13) - 2 = 37 \\angle \: c = (50 - 13) = 37 then \: angle \: b = angle \: d \\ \\ a + b + c + d = 360 \\ 37 + 37 + 2b = 360 \\ 74 + 2b = 360 \\ 2b = 286 \\ b = 146 = d$