Question

which equation can be used to solve for x in the following diagram? choose 1 answer: (a) (5x + 30)+5x = 180 (b) (5x + 30)+5x = 90 (c) 5x=(5x + 30) (d) (5x + 30)-5x = 90

Explanation:

Step1: Identify angle relationship

The two angles $(5x + 30)^{\circ}$ and $5x^{\circ}$ are complementary as they form a right - angle (90°).

Step2: Write the equation

The sum of complementary angles is 90°. So, $(5x + 30)+5x=90$.

Answer:

B. $(5x + 30)+5x = 90$