Question

In the expression (8x – 77) and (3x + 38), what is the relationship between the angles represented by these expressions?

A) Complementary
B) Supplementary
C) Vertical
D) Opposite

Answer 1

The relationship between the angles represented by the expressions (8x - 77) and (3x + 38) is complementary. The sum of the angles equals 90 degrees after solving the equation. Therefore, the angles are complementary.

Step-by-step explanation:

The relationship between the angles represented by the expressions (8x - 77) and (3x + 38) is Complementary.

To determine if two angles are complementary, we need to check if their sum equals 90 degrees. In this case, the angles are represented by the expressions (8x - 77) and (3x + 38). We can set up an equation: (8x - 77) + (3x + 38) = 90. Solving this equation, we get 11x - 39 = 90. Simplifying further, we find that 11x = 129. Finally, dividing both sides by 11, we find that x = 11. Therefore, the angles represented by the expressions (8x - 77) and (3x + 38) are complementary.