The value of x = z = 73 degrees and y = 107degrees
3) Geometry is a branch of mathematics that deals with the measurement of lines and angles.
From the diagram shown, we can see that the two lines intersect at a point. The following is therefore true:
- y = 107° (vertically opposite angle)
The sum of z and 107 is supplementary. Hence;
- z = 180 - 107
- z = 73degrees
Also, the sum of x and y is also supplementary. This shows that:
- x + y = 180
- x + 107 = 180
- x = 180 - 107
- x = 73dgrees
From the calculations, hence x = z = 73 degrees and y = 107degrees
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