Question

solving for angle measures
complete the statements about the relationship between the two labeled angles.
given: ( mangle udr = 63^circ )
the two labeled angles are adjacent angles.
that means that their measures sum to ( 63^circ ).
use the relationship you determined to write an equation to help you solve for ( x ).
solve for ( x ). write your answer as an integer or decimal.
view solution history
( 14x = 63 )
( x=\frac{63}{14} )
( x = 4.5 )

Explanation:

Step1: Set up the equation

The two adjacent angles have measures \(9x^\circ\) and \(5x^\circ\), and their sum is \(63^\circ\). So the equation is \(9x + 5x=63\). Combining like terms, we get \(14x = 63\).

Step2: Solve for \(x\)

To find \(x\), we divide both sides of the equation \(14x = 63\) by 14. So \(x=\frac{63}{14}\). Calculating this, we get \(x = 4.5\).

Answer:

\(x = 4.5\)