Question

If m∠W = 105° and m∠Y = 75°, then m∠X =

Please show your work, so I know the process.

Answer 1

Answer:30

Explanation:

Answer 2

30°

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°