Question

Which statement is true about the angles below?



(1 point)
Responses

If angle 1 is 110°
, then angle 3 is 70°
because they are complementary angles.
If angle 1 is 110 degrees, then angle 3 is 70 degrees because they are complementary angles.

If angle 1 is 110°
, then angle 3 is also 110°
because they are adjacent angles.
If angle 1 is 110 degrees, then angle 3 is also 110 degrees because they are adjacent angles.

If angle 1 is 110°
, then angle 3 is 70°
because they are supplementary angles.
If angle 1 is 110 degrees, then angle 3 is 70 degrees because they are supplementary angles.

If angle 1 is 110°
, then angle 3 is also 110°
because they are vertical angles.

Answer 1

To determine which statement is true about the angles, let's review the concepts:

1. **Complementary angles** are two angles that add up to 90°. Therefore, they cannot be true in this case since if angle 1 is 110°, angle 3 cannot be 70° (100° + 70° ≠ 90°).

2. **Adjacent angles** are angles that share a common side and vertex. There is no information that they have the same measure simply by being adjacent.

3. **Supplementary angles** are two angles that add up to 180°. So, if angle 1 is 110°, angle 3 would be 70° since 110° + 70° = 180°.

4. **Vertical angles** are opposite angles formed by two intersecting lines and are equal in measure. The statement that angle 3 is also 110° would only hold true if angle 3 were the vertical angle opposite angle 1.

Given this, the true statement is:

**If angle 1 is 110°, then angle 3 is 70° because they are supplementary angles.**