Adjacent angles of parallelogram are of measure 2x and 7x find the value of ‘x’​

1 thought on “Adjacent angles of parallelogram are of measure 2x and 7x find the value of ‘x’​”

1. Answer:

   The adjacent angles are given as (2x+7)

   ∘

   and (3x−2)

   ∘

   .

   Since, the sum of the adjacent angles of a parallelogram is 180

   ∘

   , then,

   2x+7+3x−2=180

   5x+5=180

   5x=175

   x=35

   (2x+7)

   ∘

   =(2(35)+7)

   ∘

   =77

   ∘

   (3x−2)

   ∘

   =(3(35)−2)

   ∘

   =103

   ∘

   And since the opposite angles of a parallelogram is equal, so, the angles will be 77

   ∘

   ,103

   ∘

   ,77

   ∘

   ,103

   ∘

   .

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