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valkas [14]
3 years ago
12

Find the measure of arc FV

Mathematics
2 answers:
wolverine [178]3 years ago
7 0

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.

stepladder [879]3 years ago
4 0

Answer:

FV = 60

Step-by-step explanation:

VG => 65 × 2 = 130

FH major arc=> 119 × 2 =  238

<u>FH major arc -  GH = FG</u>

FG => 238 - 168 = 70

<u>VG - FG major arc = FV</u>

FV => 130 - 70 = 60

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