Question

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.

Answer 1

A parallelogram is a quadrilateral in which opposite sides are equal, and the opposite angles sum up $180^{o}$. Thus, the measures of the two different angles in the question are 70° and 110° i.e option D.

A parallelogram is a quadrilateral in which opposite sides are equal, and the opposite angles sum up $180^{o}$. It has four straight sides and can be classified as a quadrilateral.

Thus from the given question, we have:

(6n − 70)° + (2n + 10)° =  $180^{o}$

8n - 60 =  $180^{o}$

8n =  $180^{o}$ + 60

8n = 240

n = $\frac{240}{8}$

  = $30^{o}$

n = $30^{o}$

So that,

i. (6n − 70)° = (6[30] − 70)°

                = 180 - 70

                = $110^{o}$

ii. (2n + 10)° = (2[30] + 10)°

                  = 60 + 10

                  = $70^{o}$

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

For more clarifications on angles in a parallelogram, visit: brainly.com/question/28001957

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