Final answer:
The question is asking for the measures of angles in a triangle where an angle is bisected, but the expressions for the angles are missing. A typical method involves equating the measures of the bisected angles and solving for x, then calculating the measure of the full angle. For a complete solution, the exact expressions for the angles are needed.
Step-by-step explanation:
The question requires finding the measures of angles in a triangle where one angle is bisected. We know that if BD bisects ∠ABC, then m∠ABD is equal to m∠CBD. However, the information given in the question seems to be incomplete as the expressions for the angles are not provided. Therefore, a general approach would be to set the expressions of m∠ABD and m∠CBD to each other and solve for x. Once we find x, we plug it back into the expressions to get the actual degrees of each angle. m∠ABC is simply the sum of the measures of m∠ABD and m∠CBD, because these two angles add up to the bisected angle.
To move forward with the solution, a complete question with precise expressions for the angles would be necessary. Please review the question and provide the full expressions assigned to the angles for a complete solution.