Question

complete the statements about the relationship between the two labeled angles. given: the labeled angles form a right angle. the two labeled angles are complementary angles. that means that their measures sum to 90°. use the relationship you determined to write an equation to help you solve for x. 8x - 13 + 39 = 90 choose an action to perform. ways to rewrite expressions combine like terms convert fraction to decimal distribute perform multiplication rewrite division as multiplication rewrite fractions rewrite signs equation transformations add to both sides subtract from both sides multiply both sides divide both sides

Explanation:

Step 1: Combine like terms

First, we combine the constant terms \(-13\) and \(39\) in the equation \(8x - 13 + 39 = 90\).
\(-13 + 39 = 26\), so the equation becomes \(8x + 26 = 90\).

Step 2: Subtract 26 from both sides

To isolate the term with \(x\), we subtract \(26\) from both sides of the equation \(8x + 26 = 90\).
\(8x + 26 - 26 = 90 - 26\)
Simplifying both sides gives \(8x = 64\).

Step 3: Divide both sides by 8

To solve for \(x\), we divide both sides of the equation \(8x = 64\) by \(8\).
\(\frac{8x}{8} = \frac{64}{8}\)
Simplifying gives \(x = 8\).

Answer:

\(x = 8\)