Answer :
The value of x in the figure is 22
How to solve for x
In the figure the value of x is solved using the concept of angles on a straight line is supplementary
This helps to arrive at the equation
(3x + 10) + (5x - 6) = 180
Combine Like Terms
3x + 5x + 10 - 6 = 180
8x + 4 = 180
Isolate x
Subtract 4 from both sides:
8x = 176
Solve for x
x =22
So, the value of x is 22
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Clearer question
Lines ZH, CB, KR, and GM are shown.
Given:
ZH || CB.
∠ ZJL = 41 degrees,
∠ GLJ = 54 degrees,
∠ GFZ = (3x + 10), and
∠ ZFV = (5x - 6)