Question

1. what is the measure of angle r? 140° 110° 125° 70°

Explanation:

Step1: Find the minor arc measure

The circle has a total of $360^\circ$. The major arc is $250^\circ$, so the minor arc is $360^\circ - 250^\circ = 110^\circ$.

Step2: Calculate angle R using tangent-chord theorem

The angle formed by two tangents to a circle is half the difference between the major and minor arcs: $\frac{1}{2}(250^\circ - 110^\circ) = \frac{1}{2}(140^\circ) = 70^\circ$.

Answer:

70°