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To find the value of x, we can use the fact that the sum of the measures of two adjacent angles that form a straight line (180°) is 180°. Since the two angles in question make up a 90° angle, their measures should add up to 90°.
Therefore, we can write the equation:
x + (x + 30) = 90
Simplifying the equation, we get:
2x + 30 = 90
Subtracting 30 from both sides, we have:
2x = 60
Dividing both sides by 2, we get:
x = 30
Therefore, the value of x is 30°.