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two adjacent angles of a parallelogram are in the ratio 5:2: . find all the angles of the parallelogram​

Sagot :

lucky75

Given :-

  • Two adjacent angles of a parallelogram are in the ratio of 5 : 2.

To Find :-

  • What is the all angles of the parallelogram.

Solution :-

Let, the first angles be 5x

And, the second angles will be 2x

As we know that,

★ Sum of all angles = 180° ★

According to the question by using the formula we get,

  • ⇒ 5x+2x=180°

  • ⇒7x=180°

  • ⇒ [tex]\sf x =\: \dfrac{\cancel{180^{\circ}}}{\cancel{7}}[/tex]

  • ➠ [tex]\sf\bold{\red{x =\: 25.7^{\circ}}}[/tex]

Hence, the required angles are,

  • First angles = 5x = 5(25.7°) = 128.5°
  • Second angles = 2(25.7°) = 51.4°

As we know that, 

opposite angles in a parallelogram

is equal.

∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.

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