Math, asked by sahuarchna816, 7 months ago

2:4:5:7 find the angles of parallelogram ​

Answers

Answered by Anonymous
18

 \huge\bold\blue{♡\:Solution\:♡}

 \huge \mathfrak\red{given} -

❥ The angles of a parallelogram are in the ratio of 2:4:5:7

 \huge\mathfrak\red{to \: find} -

❥ The angles is a parallelogram ??

 \huge\mathfrak\red{solution} -

Let the angles of the parallelogram be x.

So, the angles will be 2x, 4x, 5x, 7x

Then, 2x+4x+5x+7x = 360 ( Angles sum property of parallelogram )

→ 2x+4x+5x+7x = 360

→ 18x = 360

→ x = 20

Putting the value of the in the ratios :-

First angle = 2×20= 40

Second angle = 4×20= 80

Third angle = 5×20 = 100

Fourth angle = 7×20 = 140

 \mathfrak\pink{So \: the \: angles \: of \: parallelogram \: are} -

40°, 80° , 100° , 140°

Answered by adityachoudhary2956
176

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