Question

Consider the equation (4x + 5) = 41°. Identify the type of angles and solve for x.

A) Corresponding angles, x = 9
B) Complementary angles, x = 9
C) Supplementary angles, x = 9
D) Alternate interior angles, x = 9

Answer 1

The equation represents supplementary angles and x is equal to 9.

Step-by-step explanation:

The given equation (4x + 5) = 41° represents supplementary angles.

To solve for x, we need to isolate x on one side of the equation. So, we subtract 5 from both sides:

(4x + 5) - 5 = 41° - 5

4x = 36°

Next, we divide both sides by 4:

x = 36° ÷ 4

x = 9°

Therefore, the type of angles is supplementary angles and the value of x is 9. The correct answer is option C).