In a triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 80 degrees more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180degrees to find the measure of each angle.

1st Angle - 60

2nd Angle - 20

3rd Angle - 100

Step-by-step explanation:

Not sure if it really needs an explanation. 60 is 3 times as much as 20, and 100 is 80 more than 20. All together, it makes 180 degrees.

< 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⭐