Question

the measure of two adjacent angles of a parallelogram are in the ratio 3:2. find the measure of each of the angles of the parallelogram properties use to find angles.​

Answer 1

Answer:

$sum \: of \: two \: adjacent \: angles \: in \: parallelogram = 180 \\ let \: the \: angles \: be \: in \: the \: ratio \: of \: \frac{3x}{2x} \\ therefore \: 3x + 2x = 180 \\ 5x = 180 \\ x = \frac{180}{5} = 36 \\ 1st \: angle = 3x = 3 \times 36 = 108 \\ 2nd \: angle = 2x = 2 \times 36 = 72 \\ 3rd \: angle = 108(opposite \: angle \: to \: angle \: 1) \\ 4th \: angle = 72(opposite \: angle \: to \:angle \: 2)$

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