Question

The adjacent angles of a parallelogram are (3x + 76 )° and (4x - 5)°, find the value of x​

Answer 1

Answer:

Since opposite angles of a parallelogram are equal. Therefore,

3x−2=50−x⇒x=13

(3x−2)  

∘

=3(13)−2=37  

∘

 

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle =180−37=143  

∘

 

The measure of each angle of the parallelogram.

37  

∘

,143  

∘

,37  

∘

,143  

∘

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Since opposite angles of a parallelogram are equal. Therefore,

3x−2=50−x⇒x=13

(3x−2)  

∘

=3(13)−2=37  

∘

 

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle =180−37=143  

∘

 

The measure of each angle of the parallelogram.

37  

∘

,143  

∘

,37  

∘

,143  

∘