Final answer:
To find the value of 'a', we set up the equation 35 = 3a + 5 because the line YW bisects angle LXYZ into two equal angles. By solving this linear equation, we find that a = 10.
Step-by-step explanation:
The question involves finding the value of the variable a when given that line YW bisects angle LXYZ into two angles, with one angle measuring 35 degrees and the other angle represented as 3a + 5 degrees.
Since YW bisects the angle, it means both angles LXYW and LWYZ are equal.
Therefore, we can set up the equation 35 = 3a + 5 to find a.
To solve for a, we first subtract 5 from both sides of the equation to get:
30 = 3a. Then, we divide both sides by 3 to isolate a, giving us a = 10.