Question

If ∠1 and ∠2 are complementary angles, and the measure of ∠1 is represented as 6x−18 degrees while the measure of ∠2 is represented as 3x−9 degrees, how can we determine the measure of ∠1 in degrees?

Answer 1

To determine the measure of an angle that is complementary to another angle, we can set up an equation using the given representations of the angles.

Step-by-step explanation:

Given that ∠1 and ∠2 are complementary angles, we can set up an equation to find the measure of ∠1 in degrees. We know that the measure of ∠1 is represented as 6x-18 degrees and the measure of ∠2 is represented as 3x-9 degrees. Complementary angles add up to 90 degrees, so we can set up the equation 6x-18 + 3x-9 = 90 and solve for x. Once we find the value of x, we can substitute it back into the expression for ∠1 to find the measure in degrees.By solving the equation for the unknown variable, we can determine the measure of the angle in degrees.

Learn more about Complementary angles