The measures of the three angles of a triangle are given. find the value of x and state whether the triangle is acute, obtuse or right. x + 10, x − 20, x + 25 a. x = 25, acute b. x = 55, acute c. x = 65, right

< 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⭐