Benn523
contestada

HELP PLEASE I HAVE BEEN STUCK FOR HOURS THIS IS DUE- I'll mark brainliest. In parallelogram WXYZ, diagonal WY is drawn, M and N are points on WX and YZ respectively, and WY intersects MN at E. If m<Z= 60°, m<WYX= 84°, and m<NEY= 102°, find m<ZNM. l'll mark brainliest, I'm not sure how to do this problem and I'm stressed-​

HELP PLEASE I HAVE BEEN STUCK FOR HOURS THIS IS DUE Ill mark brainliest In parallelogram WXYZ diagonal WY is drawn M and N are points on WX and YZ respectively class=

Respuesta :

Answer:

m<ZNM = 138 degrees

Step-by-step explanation:

Ver imagen nurali12
mhanifa

Answer:

  • 138°

Step-by-step explanation:

We can observe that:

  • ∠ZWY ≅ ∠XYW as alternate interior angles
  • m∠ZWY = m∠XYW = 84°
  • m∠WEN = 180° - m∠NEY = 180° - 102° = 78°, as straight angle is 180°
  • m∠WZN = 60° - given

Consider sum of interior angles in quadrilateral WENZ:

  • m∠ZWY  + m∠WEN + m∠WZN  + m∠ZNM = 360°

Substitute values and find the missing angle:

  • m∠ZNM = 360° - (84° + 78° + 60°) = 138°