Question

Find the value of unknown x in each of the following:​

Answer 1

Answer:

(i)50+x+x =180(sum of all angles of triangle)

2x=180-50

2x= 130

x=130÷2

x= 65

(iii)2x+x+90 = 180

3x = 180-90

3x = 90

x= 90÷3

x= 30

Answer 2

Answer:

Step-by-step explanation:

(i) x+x+50° =180°(Angle sum property of a triangle)

2x = 130°

x=65°

(ii) let one interior angle be y and one be z

y+110° =180°      , z+120°=180°   [Linear pairs]

y=70°, z=60°

x+y+z=180°(Angle sum property of a triangle)

x+70°+60°=180°

x =50°

(iii) x+2x+90° =180° (Angle sum property of a triangle)

3x = 90°

x=30°