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Which of the following accurately completes the missing statement and justification of the two-column proof?
A. m∠BEC + 30° =70°; Substitution Property of Equality
B. m∠BEC + 30° = 70°; Addition Property of Equality
C. m∠BEC + 40° = 70°; Substitution Property of Equality
D. m∠BEC + 40° = 70°; Addition Property of Equality

picture here Which of the following accurately completes the missing statement and justification of the twocolumn proof A mBEC 30 70 Substitution Property of Eq class=

Respuesta :

Answer:

Option A.

Step-by-step explanation:

1. BC ║ ED    [Given}

2. m∠ABC = 70° [Given}

3. m∠CED = 30°  [Given]

4. m∠ABC = m∠BED [Corresponding angle theorem]

5. m∠BEC + m∠CED = m∠BED [Angle addition postulate]

6. m∠BEC + 30° = 70° [Substitution property of equality]

7. ∠BEC = 40° [Subtraction property of equality]

Therefore, option A is the answer.

m∠BEC + 30° =70°; Substitution Property of Equality.

The correct option is (A).

What is angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

1. Given

2. m ∠ABC = 70°              [Given}

3. m ∠CED = 30°               [Given]

4. m ∠ABC = m ∠BED        [Corresponding angle theorem]

5. m ∠BEC + m ∠CED = m ∠BED       [ addition postulate]

6. m ∠BEC + 30° = 70°         [Substitution property of equality]

7. ∠BEC = 40°                         [Subtraction property of equality]

Learn more about this concept here:

https://brainly.com/question/24683210

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