Question

Angle L and angle S are complementary. If the measure of angle S is 2x + 9, and the measure of angle L is x + 21, what is the value of x?

A) x = 12
B) x = 14
C) x = 15
D) x = 18

Answer 1

To find the value of x when angles L and S are complementary, an equation is set up representing their sum as 90° and then simplified. However, the correct value of x (20) does not match the provided answer choices, suggesting a possible typo in the question or answer choices.

Step-by-step explanation:

If angle L and angle S are complementary angles, then the sum of their measures is 90°. Given that the measure of angle S is 2x + 9 and the measure of angle L is x + 21, you can set up an equation:

2x + 9 + x + 21 = 90

When you combine like terms and solve for x:

3x + 30 = 90

Subtract 30 from both sides:

3x = 60

Now, divide both sides by 3:

x = 20

However, since 20 is not one of the provided answer choices, you might have to re-check the problem for possible typos in the question or answer choices. If the provided choices were correct, the calculation process shown here would still apply to find the accurate value of x.