Final answer:
To find the measure of ∠ZNRA, set the given angles equal to each other and solve the resulting equation. Substitute the obtained value into the angle measurement equation to find the measure of ∠ZNRA. The correct answer is d) 110°.
Step-by-step explanation:
To find the measure of ∠ZNRA, we need to equate the given angles.
Since m∠ZNRA = (8y+8) and m∠TRN = (5y-3), we can set them equal to each other: (8y+8) = (5y-3).
Simplifying the equation, we get 8y+8 = 5y-3,
which leads to 3y = -11. Solving for y, we find y = -11/3.
Now we can substitute the value of y into the angle measurement equation: m∠ART = 70.
This gives us 5y - 3 = 70.
Substituting in y = -11/3, we get 5(-11/3) - 3 = 70.
Solving this equation, we find that -55/3 = 70.
Therefore, the measure of ∠ZNRA is approximately 110°, so the correct answer is d) 110°.