What is the measure of

The angle of NPR is 130°

First, set up an equation to find x.

Then, solve the equation for x.

Then, substitute 25 in for x in 2x

50

Finally, subtract 50 from 180 to find the angle of NPR

130°

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐