Question

Find mRT. Assume that segments that appear to be tangent are tangent.

Answer 1

Answer:

m(arc RT) = 148°

Step-by-step explanation:

From the picture attached,

Segment RT is a chord and segment RS is a tangent of a circle O meeting at R.

By the property of tangent chord angle,

"Angle formed by an intersecting tangent and chord measures half of the intercepted minor arc"

m(∠SRT) = $\frac{1}{2}(\text{minor arc RT})$

$74^0=\frac{1}{2}m(RT)$

$m(\text{arc RT)}=2(74^0)$

                 $=148^0$

Therefore, measure of minor arc RT is 148°.