Answer:
(a) 128°
Explanation:
Given the linear pair of angles (5x -28)° and (8x)°, you want the measure of the second angle.
Linear pair
A linear pair of angles is a pair of adjacent angles that together form a straight line. The sum of their measures is 180°.
(5x -28)° +(8x)° = 180°
13x -28 = 180 . . . . . . . . . divide by °, simplify
13x = 208 . . . . . . . . . . add 28
x = 16 . . . . . . . . . . . . divide by 13
Second angle
The second angle has measure 8x°:
(8x)° = (8·16)° = 128°
The degree value of the second angle is 128°.
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Additional comment
The second angle, being 8x, will be larger than the first, which is less than 5x. Hence angle measures less than 90° are obviously incorrect. For these kinds of problems, the answer choices often include both angle measures (and the value of x). If that is the case here, you can reasonably guess that the correct answer is the supplement of 52°, or 128°.