Two angles whose sum is 180° are called supplementary angles. The value of x is 26.
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, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
The two given angles are supplementary to each other, therefore, the sum can be written as,
4x+4+(4x - 32) = 180
4x+4+4x-32=180
8x=180+32-4
8x=208
x = 26
Hence, the value of x is 26.
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