Answer :
Answer: x=52 degrees
Step-by-step explanation:
AI-generated answer
To calculate the measure of ∠BAC in the illustration shown, we need to use the properties of angles in a triangle.
In a triangle, the sum of all the angles is always 180 degrees.
Looking at the answer choices, we can see that option B provides the equation 124 = 31 + x + 41.
To solve this equation, we can combine like terms:
124 = 31 + 41 + x
Combining 31 and 41 gives us 72.
124 = 72 + x
To isolate x, we subtract 72 from both sides of the equation:
124 - 72 = x
52 = x
Therefore, the measure of ∠BAC is 52 degrees.
In summary, we can use the equation 124 = 31 + x + 41 to calculate the measure of ∠BAC, and the solution is x = 52 degrees.
