Answer:
The angle measure is 35°.
Step-by-step explanation:
Complementary angles in geometry are angles that summate to exactly 90 degrees. If an angle measures 20 degrees <em>less</em> than the measure of its complementary angle, we can create an equation to find the measure of this angle.
The complementary angle is going to equal 90 - x, so this becomes a term in our equation: (90 - x)
Both angles need to add up to 90 degrees, so we can set up this equation:
x = (90 - x) - 20, where x is our unknown angle.
Now, we can just solve for x.
Therefore, the angle that measures 20 degrees less than its complementary angle is 35°. We can check this by using substitution:
Therefore, the two angles are 55° and 35°, but the angle that measures 20° less than the measure of its complementary angle is 35°.