Two angles whose sum is 180° are called supplementary angles. The value of x is 20°.
What are supplementary angles?
Two angles 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.
The sum of the measure of the angle will be supplementary to each other because the two angles together will be a line. Therefore, the sum will be,
7x + (x+20°) = 180°
7x + x + 20° = 180°
8x = 160°
x = 20°
Hence, the value of x is 20°.
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