Question

(5x+3) and (2x-12) are complementary angle solve for x

Answer 1

Answer:
`\displaystyle x=(99)/(7)`

Explanation:

Complementary angles are equal to 90 degrees when added together. Using this information, we can solve for x.

Given:

(5x + 3) + (2x - 12) = 90°

Distribute:

5x + 3 + 2x - 12 = 90°

Reorder terms:

5x + 2x + 3 - 12 = 90°

Combine like terms:

7x - 9 = 90°

Add 9 to both sides of the equation:

7x = 99°

Divide both sides of the equation by 7:

x =
`(99)/(7)`