Math, asked by Anonymous, 3 months ago

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.



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Answered by Anonymous
10

Answer:

QUESTION

The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.

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Answered by Anonymous
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The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.

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 in \:parallellogram\: opposite\: angles\: are\: equal

 Adjacent \:angles\: of\: a\: parallelogram =180°

 \angle A =3x

 \angle B =2x

 \angle A +\angle B=180°

 3x+2x=180°

 5x=180°

 x=\frac{180}{5}

{\boxed {\boxed {x=36°}}}

 \angle A =\angle C=3x

 =3(36)

 {\boxed {\boxed {\angle A =\angle C=108°}}}

 \angle B =\angle D=2x

 =2(36)

 {\boxed {\boxed {\angle B =\angle D=72°}}}

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 Sum\: of\: angles\: of \:a\: parallelogram =360°

 \angle A+\angle B+\angle C+\angle D=360°

 108°+72°+108°+72°=360°

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