Answer:
The correct option is (c).
Explanation:
We can use exterior angle theorem to find the measure of angle 1.
According to this theorem,
The exterior angle of a triangle is equal to the sum of two opposite interior angles. So,
117 = 59 + ∠1
∠1 = 117-59
∠1 = 58°
So, the measure of ∠1 is equal to 58°.