The value of x in triangle 1 is 75 degrees
The value of x in triangle 2 is 63 degrees
The value of x in triangle 3 is 20 degrees
The value of x in triangle 4 is 55 degrees
The value of x in triangle 5 is 23 degrees
The value of x in triangle 6 is 17 degrees
The value of x in triangle 7 is 85 degrees
The value of x in triangle 8 is 30 degrees
The value of x in triangle 9 is 147 degrees
The value of x in triangle 10 is 29 degrees
The value of x in triangle 11 is 60 degrees
The value of x in triangle 12 is 27 degrees
Description of a triangle
A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The sum of two opposite interior angles is equal to the external angle.
Types of triangles
- Equilateral triangle
- Right-angles triangle
- Isosceles triangle
- Scalene tringle
Determining the value of x
Triangle 1: 180 - (58 + 47) = 75 degree
Triangle 2: 180 - 96 - 21 = 63 degrees
Triangle 3: 180 = (3x - 1 + 31 + 90)
180 = 120 + 3x
180 - 120 = 3x
60 = 3x
x = 20 degrees
Triangle 4: 21 + 34 = 55 degrees
Triangle 5: 100 = 2x + 3 + 51
100 = 2x + 54
100 - 54 = 2x
46 = 2x
x = 23 degrees
Triangle 6: 94 = 60 + 2x
94 - 60 = 2x
34 = 2x
x = 17 degrees
Triangle 7: 180 - 52 - 43 = 85 degrees
Triangle 8: x + 2x + 3x = 180
6x = 180
x = 30 degrees
Triangle 9: 2x - 2 + x + 5 = 90
3x + 3 = 90
3x = 90 - 3
3x = 87
x = 29 degrees
Triangle 10: 180 - 10 - 23 = 147 degrees
Triangle 11: 180 = x + x + x
180 = 3x
x = 60 degrees
Triangle 12: 180 = 3x - 17 + x + 40 + 2x - 5
180 = 6x + 18
180 - 18 = 6x
162 = 6x
x = 27 degrees
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