By definition of vertical angles, the value of the variable x behind the geometric system is equal to 12. The measure of the labeled angle is 48°.
What is the measure of variable within a geometric system generated by two lines intersecting each other?
The image shows a geometric system generated by two non-parallel lines that intersect each other and consequently two pairs of vertical angles are therefore created. In geometry, two vertical angles are opposite to each other and have the same measure. Then, the following mathematical relationship is found:
4 · x = 48
In addition, we must clear the variable x within the equation:
4 · x = 48 Given
x = 48 / 4 Compatibility with multiplication / Commutative, associative and modulative properties / Existence of multiplication
x = 12 Definition of division / Result
The value of the variable x behind the geometric system is equal to 12.
To learn more on vertical angles: https://brainly.com/question/24460838
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