10 more than 6 times herald's age is the same as 4 times his age increased by 40 find harold age

Making an equation,

Let heralds age be x

10+6x=4x+40

Seperating constants and variables,

6x-4x=40-10

2x=30

x=30/2

=15

Heralds age is 15,

Substitute x with 15 in the equation for rechecking

< 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⭐