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Jacob is cutting a tile in the shape of a parallelogram. two opposite angles have measures of (6n − 70)° and (2n 10)°. what are the two different angle measures of the parallelogram-shaped tile?

Respuesta :

The measures of the two different angles are 70° and 110°.

What is angle in parallelogram ?

  • A parallelogram is a flat 2d shape which has four angles. The opposite interior angles are equal.
  • The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.
  • Hence, the sum of the interior angles of a parallelogram is 360 degrees.

Thus from the given question, we have:

(6n − 70)° + (2n + 10)° =  180°

8n - 60 =  180° + 60

8n = 240

n = 240/8

n = 30°

So that,

i. (6n − 70)° = (6[30] − 70)°

                    = 180 - 70

                     = 110°

   

ii. (2n + 10)° = (2[30] + 10)°

                   = 60 + 10

                   = 70°

               

Therefore, the measures of the two different angles are 70° and 110°.

Learn more about angles in a parallelogram

brainly.com/question/16578666

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