Question #157931

Find the measure of the following .in circle V.mAVE=90° mIVD=(2x)° and mEVS=(6X-28)°


1
Expert's answer
2021-01-25T17:12:21-0500

V.mAVE°+m/VD°+mEVS°=180°V.mAVE\degree+m/VD\degree+mEVS\degree=180\degree

90°+(2X)°+(6X28)°=180°90\degree+(2X)\degree+(6X-28)\degree=180\degree

2X+6X=18090+282X+6X=180-90+28

8X=628X=62

X=7.75°X=7.75\degree


m/VD=2×7.75\therefore m/VD=2\times7.75

=15.5°=15.5\degree


mEVS=(6×7.75)28mEVS=(6\times7.75)-28

=18.5°=18.5\degree

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