Two angels whose sum is 180° are called supplementary angles. The value of x for the given figure is 8. The correct option is D.
What are supplementary angles?
Two angels whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Given that the two lines m and n are parallel, while t is the transversal. Therefore, the two angles that are shown in terms of x will be supplementary angles to each other.
Now, the sum of the two of the given angles can be written as,
(8x + 6)° + (14x - 2)° = 180°
8x + 6 + 14x - 2 = 180
22x = 180 - 6 + 2
22x = 176
x = 176/22
x = 8
Hence, the value of x for the given figure is 8.
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