Two complementary angles have measures of s and t. If t is less than twice s, which system of linear equations can be used to determine the measure of each angle?

Question

Two complementary angles have measures of s and t. If t is less than twice s, which system of linear equations can be used to determine the measure of each angle?

Answer 1

X+[2x+t]=90

Answer 2

To determine the measures of two complementary angles, we can set up a system of linear equations.

Let's assume that the measure of one angle is s, and the measure of the other angle is t. Since the angles are complementary, their sum is 90 degrees.

Therefore, we can create the following system of equations:

s + t = 90 (Equation 1)

Also, given that t is less than twice s, we can write:

t < 2s (Equation 2)

So the system of linear equations that can be used to determine the measure of each angle is:

s + t = 90 (Equation 1)
t < 2s (Equation 2)

Now we can solve this system of equations to find the measures of the angles.

Answer 3

complementary angles sum to 90º

t < 2 s