one angle of a quadrilateral is 150 and 3 angles are equal. find the measures of the other three angles?​

2 thoughts on “one angle of a quadrilateral is 150 and 3 angles are equal. find the measures of the other three angles?​”

1. Answer:

   70°,70°,70°

   Let \: the \: each \: equal \: angle \: be \: ‘x’.Lettheeachequalanglebe

   ′

   x

   ′

   .

   Sum of all angles of quadrilateral is 360°

   ⇒ 150 + x + x + x = 360⇒150+x+x+x=360

   ⇒ 150 + 3x = 360⇒150+3x=360

   ⇒ 3x = 360 – 150⇒3x=360−150

   ⇒ 3x = 210⇒3x=210

   ⇒ x = 210/3⇒x=210/3

   ⇒ x = 70°⇒x=70°

   Value of each equal angle is 70

   °.

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2. Answer:

   [tex]70°, 70°, 70°[/tex]

   [tex]Let \: the \: each \: equal \: angle \: be \: ‘x’.[/tex]

   Sum of all angles of quadrilateral is 360°

   [tex]⇒ 150 + x + x + x = 360 [/tex]

   [tex]⇒ 150 + 3x = 360[/tex]

   [tex]⇒ 3x = 360 – 150 [/tex]

   [tex]⇒ 3x = 210 [/tex]

   [tex]⇒ x = 210/3 [/tex]

   [tex]⇒ x = 70°[/tex]

   [tex]Value \: of \: each \: equal \: angle \: is \: 70[/tex]

   °.

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