Question

Which of the following statements is true? A. Vertical angles are always complementary. B. Vertical angles are always supplementary. C. Vertical angles are always equal in measure. D. Vertical angles sometimes have different measures.

Answer 1

Vertical angles always equal in measure

Answer 2

The correct statement about vertical angles is that they are always equal in measure. This also implies they are congruent. Therefore, the correct answer is C.

For example, if a vertical angle measures 140 degrees, it means the other angle will also measure 140 degrees.

Further Explanation

Vertical angles are always equal in measure, they are very special angle and they are congruent to one another.

Vertical angles are non-adjacent angles and they are formed when 2 lines intersect. In vertical angles, all the pairs of the angles are opposite each other.

The angles that opposite another are called supplementary and their sum in total is 180 degrees.

However, there are four different types of angles and these include

1. Vertical angle
2. Complementary angle
3. Supplementary angle
4. Adjacent angle

Complementary angle: they are 2 angles that measure 90 degrees, that is they form a right angle

Supplementary angle: they are 2 angles that measure 180 degree

Adjacent angle: they are 2 angles that have common vertex (corner point) and a common side. Also, adjacent angles don’t overlap. When 2 angles have a corner point and a common side, it implies that the 2 angles shared the vertex point and the side.

Therefore, the correct statement about vertical angles is that they are always equal in measure (they are congruent)

LEARN MORE:

• Which of the following statements is true?  brainly.com/question/10236745
• Which of the following statements is true? brainly.com/question/1043940

KEYWORDS:

• congruent
• vertical angles
• supplementary angles
• different measures
• complementary angles