Question

what is the measure of \\( \angle xbc \\)?

1. \\( m \angle xbc = m \angle bac + m \angle bca \\)
2. \\( 3 p - 6 = p + 4 + 84 \\)
3. \\( 3 p - 6 = p + 88 \\)
4. \\( 2 p - 6 = 88 \\)
5. \\( 2 p = 94 \\)

\\( m \angle xbc = \square ^ { \circ } \\)

Explanation:

Step1: Solve for \(p\)

From step 5: \(2p = 94\), divide both sides by 2.
\(p=\frac{94}{2}=47\)

Step2: Substitute \(p = 47\) into \(m\angle XBC=(3p - 6)^{\circ}\)

\(m\angle XBC=3\times47-6\)
\(m\angle XBC = 141-6\)
\(m\angle XBC=135^{\circ}\)

Answer:

\(135\)