A parallelogram is a quadrilateral in which opposite sides are equal, and the opposite angles sum up [tex]180^{o}[/tex]. 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 [tex]180^{o}[/tex]. It has four straight sides and can be classified as a quadrilateral.
Thus from the given question, we have:
(6n − 70)° + (2n + 10)° = [tex]180^{o}[/tex]
8n - 60 = [tex]180^{o}[/tex]
8n = [tex]180^{o}[/tex] + 60
8n = 240
n = [tex]\frac{240}{8}[/tex]
= [tex]30^{o}[/tex]
n = [tex]30^{o}[/tex]
So that,
i. (6n − 70)° = (6[30] − 70)°
= 180 - 70
= [tex]110^{o}[/tex]
ii. (2n + 10)° = (2[30] + 10)°
= 60 + 10
= [tex]70^{o}[/tex]
Therefore, the measures of the two different angles are 70° and 110°. Option D.
For more clarifications on angles in a parallelogram, visit: https://brainly.com/question/28001957
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