The measure of the angle is 39°.
Complementary angles are angles whose sum is equivalent to 90°. On the other hand, supplementary angles are angles whose sum is equivalent to 180°.
Let x be the measure of the angle.
90° - x = complement angle of x
180° - x = supplement angle of x
If the measure of its supplement is 39 more than twice the measure of its complement, then
180° - x = 39 + 2(90° - x)
Simplify and solve for x.
180° - x = 39 + 2(90° - x)
180° - x = 39 + 180° - 2x
x = 39°
Hence, the measure of the angle is 39°.
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