Find the missing angles in the following triangles.

1. 65

2. 35

3. 67

4. Y = 50 X = 60

Step-by-step explanation:

All angles in triangles must equal up to 180

Step-by-step explanation:

angles in triangle = 180

1. 180 - (70+45) = x = 65

2. x = 35

180 - 110 = 70

70/2 = 35 (isosceles triangle)

3. x = 113, y = 67

180 - (62 + 51) = y = 67

Angles on a line = 180

180 - 67 = x = 113

4. x = 60, y = 50

x = 180 - 120 = 60

y = 180 - (60 + 70) = 50

answers in 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⭐