76.2k views
2 votes
If line p is parallel to line q, and m/3 = 75, what is the measure of 48?

105
15
75
120

If line p is parallel to line q, and m/3 = 75, what is the measure of 48? 105 15 75 120-example-1
User Malini
by
7.5k points

1 Answer

3 votes

Answer:

In this question, we are given that line \( p \) is parallel to line \( q \), and we are also given that \( m / 3 = 75 \). We need to find the measure of 48.

Since line \( p \) is parallel to line \( q \), we can apply the concept of corresponding angles. Corresponding angles are congruent when two parallel lines are intersected by a transversal.

In this case, the angle \( m \) is corresponding to the angle 48. Since \( m / 3 = 75 \), we can set up the following equation:

\[

\frac{m}{3} = 75

\]

To find the measure of 48, we can solve for \( m \) by multiplying both sides of the equation by 3:

\[

m = 75 \times 3 = 225

\]

Therefore, the measure of 48 is 225. However, none of the given answer options match this result. It seems there might be an error in the question or the answer choices.

User Remco
by
7.7k points