Question

The adjacent angles of parallelogram are in the ratio 2:3. Find all the angles of

parallelogram.​

Answer 1

Answer:

$Let \: the \: angles \: be \: 2x \: and \: 3x.$

$sum \: of \: adjacent \: angles \: \: of \:a \: \\ pallelogram = 180 \degree$

$= 2x + 3x = 180 \degree$

$= 5x = 180 \degree$

$x = \frac{180}{5} = 36 \degree$

Therefore the angles are

$2x=36°×2=72°$

$3x = 3 \times 36 \degree =108 \degree$

Step-by-step explanation:

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Answer 2

Answer:

$\bold{Let \: the \: angles \: be \: 2x \: and \: 3x.}$

$\bold{sum \: of \: adjacent \: angles \: \: of \:a \: pallelogram = 180 \degree}$

$\bold{= 2x + 3x = 180 \degree}$

$\bold{ = 5x = 180 \degree}$

$\bold{x = \frac{180}{5} = 36 \degree}$

$Therefore \: the \: angles \\ 2x=36°×2=72°$

$3x = 3 \times 36 \degree =108 \degree$