Question

solving for angle measures
given: m∠udr=63°
the two labeled angles are adjacent angles.
that means that their measures sum to 63°.
use the relationship you determined to write an equation to help you solve for x.

Explanation:

Step1: Identify angle relationship

The two angles \((9x)^\circ\) and \((5x)^\circ\) are adjacent and sum to \(m\angle UDR = 63^\circ\). So, we set up the equation: \(9x + 5x = 63\).

Step2: Combine like terms

Combine \(9x\) and \(5x\) to get \(14x\). The equation becomes \(14x = 63\).

Step3: Solve for \(x\)

Divide both sides by 14: \(x=\frac{63}{14}\), which simplifies to \(x = 4.5\).

Answer:

The equation is \(9x + 5x = 63\) and \(x = 4.5\)