Answer:
30°
Step-by-step explanation:
First we must know that the sum of the interior angles of a triangle sum up to 180°. Furthermore, a straight line is also 180°. By using these what we know we can determine what the value of m∠X is.
First we know that m∠W and m∠Z make up a straight line, since m∠W is 105° it follows that:
180° = m∠W + m∠Z
And so:
m∠Z = 180° - m∠W = 180°-105° = 75°
m∠Z = 75°
Now, we also know that the sum of m∠X + m∠Y + m∠Z = 180° and so:
m∠X = 180° - m∠Y - m∠Z
m∠X = 180° - 75° - 75° = 30°
Therefore, m∠X = 30°
