Question

three lines intersect at point p. the measures of two of the angles formed by the lines are shown in the figure.
what is the measure of ∠ ops, in degrees?

Explanation:

Step1: Recall angle sum on a straight line

A straight line forms a \(180^\circ\) angle. The angles around point \(P\) on the straight line (horizontal line) must sum to \(180^\circ\).

Step2: Calculate the unknown angle

Let \(\angle OPS = x\). We know two other angles on the straight line: \(50^\circ\) and \(60^\circ\). So, \(50^\circ + 60^\circ + x = 180^\circ\). Simplify the left - hand side: \(110^\circ+x = 180^\circ\). Subtract \(110^\circ\) from both sides: \(x=180^\circ - 110^\circ=70^\circ\).

Answer:

\(70\)