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NNADVOKAT [17]
3 years ago
6

If m∠W = 105° and m∠Y = 75°, then m∠X = Please show your work, so I know the process.

Mathematics
2 answers:
Paha777 [63]3 years ago
7 0

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°


SVETLANKA909090 [29]3 years ago
3 0

Answer:30

Step-by-step explanation:

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