Question

Which equation models the following word problem?Find the measure of an angle if the measure of the angle is 6 less thantwice the measure of its complement.

Answer 1

We let x be the measure of the angle that we are looking at in this problem. We need to generate a mathematical expression that defines the phrases provided in the problem.

For the part twice the measure of its complement, we take note of the word compliment. A complementary angle means that two angles have a total measure of 90 degrees. Based on angle x, the compliment will be 90 - x. It is also said that it is twice the measure, hence, we have 2(90-x).

For the last part, it is 6 less than the obtained expression above. Therefore, we get 6 - 2(90-x). The equation that describes the worded problem is:

$x=6-2(90-x)$

Answer: x = 6 - 2(90-x)