The measure of angle 1 is 30°, and the measure of angle 2 is 110°. what is the measure of angle 4?

Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Angle 4 is an exterior angle of the triangle.
Angles 1 and 2 are the remote interior angles of angle 4.

m<4 = m<1 + m<2

m<4 = 30 deg + 110 deg

m<4 = 140 deg

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.