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To find the value of x, we need to use the fact that complementary angles add up to 90 degrees.
Let's call the angle on the baseline of the complementary angle A, and the angle above it B.
We know that angle A has a measure of 31 degrees.
Angle B is the complementary angle to A, so its measure is 90 - 31 = 59 degrees.
Since angle B is 5x, we can set up an equation to solve for x:
5x = 59
Dividing both sides of the equation by 5, we get:
x = 59/5
Therefore, the value of x is 59/5 or 11.8.