Final Answer:
To calculate x when L1 is parallel to L2 and a + b = 220°, x = a because, according to the properties of parallel lines and transversals, corresponding angles formed by parallel lines and a transversal are equal. Therefore, x = a in this scenario.
Step-by-step explanation:
When two lines, L1 and L2, are parallel and intersected by a transversal, the corresponding angles formed are congruent. In this case, a and x are corresponding angles as they are on the same side of the transversal and between the parallel lines. Given that a + b = 220° and L1 is parallel to L2, we can infer that x, being the corresponding angle to a, must also measure 220°. This conclusion stems from the principle that corresponding angles formed by parallel lines and a transversal are equal.
Parallel lines intersected by a transversal create specific angle relationships. Corresponding angles formed by these lines are congruent. Given the condition a + b = 220°, where a represents one of the corresponding angles, it can be deduced that x, the corresponding angle to a, is equivalent to a due to their relationship as corresponding angles. Consequently, in this context, x = a = 220°, adhering to the properties of parallel lines and transversals.
To clarify, in this scenario, a and x are corresponding angles formed by parallel lines and a transversal. The given condition a + b = 220° allows us to establish that x equals a since corresponding angles are congruent when two lines are parallel and intersected by a transversal. Hence, the value of x in this context is identical to the measure of a, which is 220°, as per the given condition.