The measures of the angle are 37 degrees, and 53 degrees if the angle measures 16° less than the measure of its complementary angle.
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
It is given that:
An angle measures 16° less than the measure of its complementary angle.
Let x be the angle.
From the definition of the complementary angle
If one angle is A then the other angle will be (90 - A) or the sum of the two angles equal to 90 degrees.
The complementary angle of x is (90 - x)
x = (90 - x) - 16
2x = 90 - 16
2x = 74
x = 74/2
x = 37 degrees
The other angle measure = 90 - 37 = 53 degrees
Thus, the measures of the angle are 37 degrees, and 53 degrees if the angle measures 16° less than the measure of its complementary angle.
Learn more about the angle here:
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