Question

What is the measure of NRS?

Answer 1

Answer:

C. 113°

Step-by-step explanation:

(7x - 1) + 79° = 21x + 8

• An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

$(7x - 1) +79 = 21x + 8 \\ 7x - 1 + 79 = 21x + 8 \\ 7x + 78 = 21x + 8 \\ 78 - 8 = 21x - 7x \\ 70 = 14x \\ \frac{70}{14} = x \\ 5 = x$

NRS = 21x + 8

$21x + 8 \\ 21(5) + 8 \\ 105 + 8 \\ {113}^{o}$