Find the measure of the following .in circle V.mAVE=90° mIVD=(2x)° and mEVS=(6X-28)°
V.mAVE°+m/VD°+mEVS°=180°V.mAVE\degree+m/VD\degree+mEVS\degree=180\degreeV.mAVE°+m/VD°+mEVS°=180°
90°+(2X)°+(6X−28)°=180°90\degree+(2X)\degree+(6X-28)\degree=180\degree90°+(2X)°+(6X−28)°=180°
2X+6X=180−90+282X+6X=180-90+282X+6X=180−90+28
8X=628X=628X=62
X=7.75°X=7.75\degreeX=7.75°
∴m/VD=2×7.75\therefore m/VD=2\times7.75∴m/VD=2×7.75
=15.5°=15.5\degree=15.5°
mEVS=(6×7.75)−28mEVS=(6\times7.75)-28mEVS=(6×7.75)−28
=18.5°=18.5\degree=18.5°
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