If the measure of an angle is twenty less then the measure of its complement, what is the measure of the angle?

Angles that add up to 90° are called complementary angles. In this problem, say, we have an angle . From geometry, we know that angles that add up to 90° are called complementary angles. So the complement of is:

Thus, the measure of an angle that is twenty less than the measure of its complement can be written as:

By solving this equation:

The complement is

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: