Q:

Which of the following statements must be true about this diagram? Check all that apply.

Accepted Solution

A:
Answer:          Check A, B and D Step-by-step explanation:A. m∠4 = 180° - m∠3    m∠1 = 180° - (m∠3 + m∠2)   m∠3 < m∠3 + m∠2  ⇒  m∠4 >m∠1B. m∠4 = 180° - m∠3    m∠2 = 180° - (m∠3 + m∠1)   m∠3 < m∠3 + m∠1  ⇒  m∠4 >m∠2C. Not necessarily {could be but not always}D.   m∠4 = 180° - m∠3m∠1 + m∠2 + m∠3 = 180°  ⇒  m∠1 + m∠2 = 180° - m∠3 = m∠4E.  m∠3 = m∠1 + m∠2  only if m∠3 = 90°F.  Not necessarily. {Could be but also could not be. In the picture is, but we don't know if the diagram is accurate or just approximate.}