Find the measure of arc FV
![Find the measure of arc FV class=](https://us-static.z-dn.net/files/db4/d21b03afac11545e907637bd5cc1b52e.png)
Answer:
FV = 60
Step-by-step explanation:
VG => 65 × 2 = 130
FH major arc=> 119 × 2 = 238
FH major arc - GH = FG
FG => 238 - 168 = 70
VG - FG major arc = FV
FV => 130 - 70 = 60
Answer:
60 degrees
Step-by-step explanation:
The measure of an inscirbed angle is half the measure of the intercepted arc.
(The measure of the arc is twice the measure of the angle!)
The inscribed angle at V intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238. Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.
The angle at H intercepts an arc with measure 2 x 65 = 130. The measure of arc VFG is 130. But arc FG is part of that, so subtract its measure from 130. 130 - 70 = 60.
The measure of arc FV is 60 degrees.