Which statement is true about ∠1 and ∠2? (4 points)
Group of answer choices
∠1 and ∠2 are complementary because they are a pair of corresponding angles.
∠1 and ∠2 are congruent because they are a pair of corresponding angles.
∠1 and ∠2 are complementary because they are a pair of alternate interior angles.
∠1 and ∠2 are congruent because they are a pair of alternate interior angles.
for the people that still need help here ill brb ill be back with the anwsers.
None of the statements provided can be determined as true about ∠1 and ∠2 based solely on their pair of corresponding angles or alternate interior angles. Additional information about the angles or their relationship is needed to determine if they are complementary or congruent.
To determine the relationship between ∠1 and ∠2, we need to understand what complementary angles and alternate interior angles are.
Complementary angles are two angles that add up to 90 degrees. So, if ∠1 and ∠2 are complementary, their sum should be 90 degrees.
On the other hand, alternate interior angles are a pair of angles formed when a transversal intersects two parallel lines. These angles are congruent, which means they have the same measure.
Now, let's analyze the given statements:
1. ∠1 and ∠2 are complementary because they are a pair of corresponding angles.
This statement is incorrect because complementary angles are not necessarily corresponding angles. Corresponding angles are formed when a transversal intersects two parallel lines and are in the same relative position relative to the transversal.
2. ∠1 and ∠2 are congruent because they are a pair of corresponding angles.
This statement is also incorrect because corresponding angles formed by a transversal intersecting two parallel lines are congruent to each other, but not necessarily equal to each other.
3. ∠1 and ∠2 are complementary because they are a pair of alternate interior angles.
This statement is incorrect because alternate interior angles are congruent, not complementary.
4. ∠1 and ∠2 are congruent because they are a pair of alternate interior angles.
This statement is correct. Alternate interior angles formed by a transversal intersecting two parallel lines are congruent. Thus, ∠1 and ∠2 are congruent.
Therefore, the correct statement is:
∠1 and ∠2 are congruent because they are a pair of alternate interior angles.
Since you tell us nothing about the angles, how can we possibly know their relation to each other or the figure you refuse to describe?
But you do know that alternate interior and corresponding angles are congruent, right? So which are these?