Question

The figure shows in degrees the angles at which a line is cut by two parallel lines. Find the value of x.
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Answer 1

Step-by-step explanation:

4x+28=180

4x=180-28

4x=152

x=152/4

x=38

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Answer 2

Answer:

$4(x + 7) + 5(x - 20) = 180 \\ \\ = > 4x + 28 + 5x - 100 = 180 \\ \\ = > 9x - 72 = 180 \\ \\ = > 9x = 180 - 72 = 108 \\ \\ = > x = \frac{108}{9} = 12$

Hence value of x=12°

Property used;

Sum of angles on the same side of the tranversal is 180°.