Question

what is the measure of y in the figure below?
a 50
b 60
c 100
d 120

Explanation:

Step1: Apply the sum of exterior angles formula

The sum of exterior angles of a polygon is \(360^{\circ}\).

Step2: Set up the equation

Let's assume the polygon - like structure formed by the angles. We know that \(60 + 70+120 + 100+y=360\) (sum of angles around a point - like situation).

$$60 + 70+120 + 100+y=360$$

$$350 + y=360$$

Step3: Solve for \(y\)

Subtract \(350\) from both sides of the equation.

$$y=360 - 350$$

$$y = 50$$

Answer:

A. 50