Two parallel lines are cut by a transversal
Suppose
m∠438°
Find
m∠6 and m∠7
* m∠6 and m∠7 are corresponding angles *
You say
Suppose m∠438°
what does that mean?
Hmm. Maybe you mean
m∠4 = 38°
Not sure what the figure looks like, but corresponding angles are congruent. Check for adjacent angles or alternate/vertical angles.
It's kind of hard to answer a question about a diagram when so little information is provided...
To find the measures of angles ∠6 and ∠7, which are corresponding angles, we need to use the property that angles formed by a transversal cutting two parallel lines are congruent.
In this case, we are given that ∠438° is one of the angles. Since ∠438° is corresponding to both ∠6 and ∠7, we can conclude that ∠6 and ∠7 are congruent to ∠438°.
Therefore, the measures of ∠6 and ∠7 are also 438°.