Question

Find the value of x and justify your answer

Answer 1

The picture is kinda blurry so I hope I've got it right.

a) x = 20°

b) x = 70°

c) x = 50°

Explanation:

a) 2x + 3x + 4x = 180°

9x = 180°

x = 50°

b) (x - 20°) + (x - 20°) + (x + 10°) = 180°

3x - 30° = 180°

3x = 210°

x = 70°

c) (x + 10°) + (x + 20°) + x = 180°

3x + 30° = 180°

3x = 150°

x = 50°

Answer 2

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50