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4.) (180 - x)° x° x = __________

Question

4.) (180 - x)° x° x = __________

Explanation:

Step1: Assume m and n are parallel lines

If m and n are parallel, then the angles (180 - x) and x are corresponding angles and they are equal.
$$180 - x=x$$

Step2: Solve the equation for x

Add x to both sides of the equation:
$$180 - x+x=x + x$$
$$180 = 2x$$
Divide both sides by 2:
$$x=\frac{180}{2}=90$$

Answer:

90