One angle of a triangle measures 75. The other two angles are in a ratio of 5:16. What are the measures of those two angles?

25 and 80

Step-by-step explanation:

180 - 75 = 105

105 / (5+16) = 5

multiply each side of the ratio 5:16 by 5

5x5 : 16x5 = 25:80

< 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⭐