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Question
what is the measure of ∠xbc? 1. m∠xbc = m∠bac + m∠bca 2. 3p - 6 = p + 4 + 84 3. 3p - 6 = p + 88 4. 2p - 6 = 88 5. 2p = 94 m∠xbc =
Step1: Solve for p
We know that \(2p = 94\), so \(p=\frac{94}{2}=47\).
Step2: Find measure of ∠XBC
Substitute \(p = 47\) into the expression for \(m\angle XBC=3p - 6\). Then \(m\angle XBC=3\times47-6=141 - 6=135\).
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135