Question

Which of the following statements must be true about this diagram ? check ALL that apply

Answer 1

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∠1

B. m∠4 = 180° - m∠3

   m∠2 = 180° - (m∠3 + m∠1)

  m∠3 < m∠3 + m∠1  ⇒  m∠4 >m∠2

C. Not necessarily {could be but not always}

D.   m∠4 = 180° - m∠3

m∠1 + m∠2 + m∠3 = 180°  ⇒  m∠1 + m∠2 = 180° - m∠3 = m∠4

E.  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.}