Final answer:
The measure of angle XBC is 135 degrees.
Step-by-step explanation:
To find the measure of angle XBC, we need to solve the given equation: m∠XBC = m∠BAC + m∠BCA. We are given the equation 3p – 6 = p + 4 + 84. Simplifying this equation, we get 2p = 94. Dividing both sides by 2, we find p = 47. Now we can substitute this value back into the equation to find the measure of angle XBC.
m∠XBC = m∠BAC + m∠BCA
m∠XBC = (47) + 4 + 84
m∠XBC = 135
Therefore, the measure of angle XBC is 135 degrees.