Match the following reasons with the statements to complete the following proof.
Glven: AD is a straight line and m_CBD= m_DBE
To Prove: m_ABC+ m_DBE= 180°.
Answers
Given:
AD is a straight line and m CBD = m DBE
To Prove: m angle ABC + m angle DBE = 180°
Proof: First statement is :
1. m angle CBD = m angle DBE
We already given that. So the correct reason for this statement is A. Given.
Second statement :
2. ABC, CBD are supplementary.
Because exterior sides in opposite rays are making supplementary (sum upto 180). Therefore, reason for second statement is : D. ...exterior sides in opposite rays.
Third statement :
3. m angle ABC + m angle CBD = 180°
Angles ABC and CBD are add upto 180 degree by supplementary angles defination.
Therefore, reason for 3rd statement is : B. Definition of supplementary.
Fourth statement:
4. m angle ABC + m angle DBE = 180°
On substituting m angle CBD = m angleDBE, we get m angle ABC + m angle DBE = 180.
Therefore, 4th reason would be : C. Substitution.
Hope it helps you (◕ᴗ◕✿)
Answer: what the first person said ig lol
Step-by-step explanation: