Question

which statement best describes the relationship between ∠r and ∠t?
a m∠r = m∠t
b m∠r = 1/2m∠t
c m∠r + m∠t = 90°
d m∠r + m∠t = 180°

Explanation:

Step1: Recall the inscribed - angle theorem

The measure of an inscribed angle (\(\angle R\)) in a circle is half the measure of the central angle (\(\angle T\)) that subtends the same arc.

Step2: Apply the theorem

If \(\angle R\) is an inscribed angle and \(\angle T\) is the central angle subtending the same arc \(SQ\), then \(m\angle R=\frac{1}{2}m\angle T\).

Answer:

B. \(m\angle R = \frac{1}{2}m\angle T\)