Question

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Answer 1

x = 125

Explanation:

The two angles shown in the diagram are known as supplementary angles, because they lie along a straight line AND their measures add up to 180°:

`x^(o) + 55^(o) = 180^(o)`

x is the unknown variable, which needs to be determined. Therefore, it will be isolated and made the subject of the equation. Like terms will be brought together:

`x^(o) = 180^(o) - 55^(o)`

∴ x° = 125°