Final answer:
To find the value of x, set the two angles equal to each other and solve for x.
Step-by-step explanation:
To find the value of x, we can set the two angles equal to each other and solve for x.
m∠WYZ = (2x – 5)°
m∠XYW = (3x + 10)°
Setting these two expressions equal to each other, we have:
(2x – 5)° = (3x + 10)°
Now we can solve for x by combining like terms and isolating the variable:
2x – 5 = 3x + 10
Subtracting 2x from both sides:
-5 = x + 10
Subtracting 10 from both sides:
-15 = x
Therefore, the value of x is -15.