Question

what is the measure of ∠xbc?
1 ( mangle xbc = mangle bac + mangle bca )
2 ( 3p - 6 = p + 4 + 84 )
3 ( 3p - 6 = p + 88 )
4 ( 2p - 6 = 88 )
5 ( 2p = 94 )
( mangle xbc = square^circ )

Explanation:

Step1: Solve for \( p \) from \( 2p = 94 \)

To find \( p \), divide both sides of the equation \( 2p = 94 \) by 2.
\( p=\frac{94}{2}=47 \)

Step2: Calculate \( m\angle XBC \) using \( 3p - 6 \)

Substitute \( p = 47 \) into the expression \( 3p - 6 \).
\( 3\times47 - 6 = 141 - 6 = 135 \)

Answer:

\( 135 \)