Beck used a compass and straightedge to accurately construct line segment os as shown in the figure.

which could be the measures of angle pos and angle poq?

a) m∠pos = 60° , m∠poq = 120°
b) m∠pos = 50° , m∠poq = 110°
c) m∠pos = 50° , m∠poq = 120°

Observe the figure below.

The given figure shows that the construction of line segment OS. We can observe clearly that OS is bisector of angle POS.

The bisector divides the angle into two equal angles.

So,

Let us observe the given options.

In first option,

Therefore,

So, Option A is the correct answer.

yes

yes yes yes