Step-by-step explanation:
Work out the value of x.
#12
The angles are supplementary as same side interior angles, sum to 180°:
- x + x - 26 = 180
- 2x = 206
- x = 103
#13
The angles are corresponding, hence congruent:
- 3x - 5 = x + 55
- 3x - x = 55 + 5
- 2x = 60
- x = 30
#14
The angles are supplementary as same side interior angles, sum to 180°:
- 2x + 24 + x = 180
- 3x = 180 - 24
- 3x = 156
- x = 52
#15
The angles are corresponding, hence congruent:
- 4x - 12 = 3x + 6
- 4x - 3x = 6 + 12
- x = 18
#16
Corresponding with the right angle:
- 4x + 12 = 90
- 4x = 78
- x = 19.5
#17
Vertical angle of the bottom angle is supplementary with the top angle:
- 2x + 12 + 3x + 23 = 180
- 5x + 35 = 180
- 5x = 145
- x = 49
