Question

In the diagram shown, line mm is parallel to line nn. Cruz says that ∠4∠4 and ∠6∠6 are congruent angles. Is he correct? Why or why not?
a) Yes, because they are both obtuse angles
b)Yes, because ∠4∠4 and ∠7∠7 are congruent corresponding angles, and ∠6∠6 and ∠7∠7 are vertical angles.
c)No, because ∠4∠4 and ∠6∠6 are not right angles.
d)No, because ∠4∠4 and ∠5∠5 are not congruent, and ∠5∠5 and ∠6∠6 are not congruent.

Answer 1

well both a and b are correct  because angles 4,6, and 7 are all congruent.
4 and 6 are alternate interior angles, 4 and 7 are corresponding angles, and 6 and 7 are vertical angles all equaling the same degree. so i would go with B only because it backs it up with proof and a is just an observation.

Answer 2

Yes, because ∠4 and ∠7 are congruent corresponding angles and ∠6 and ∠7 are vertical angles. Then the correct option is B.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

In the diagram shown, line m is parallel to line n. Cruz says that ∠4 and ∠6 are congruent angles.

Angle ∠6 and angle ∠7 are the vertical angles. Then they are equal.

∠6 = ∠7 ...1

And angle ∠7 and angle ∠4 are the corresponding angles. Then they are equal.

∠7 = ∠4 ...2

Then from equations 1 and 2, we have

∠4 = ∠6

More about the angled link is given below.

https://brainly.com/question/15767203

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