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dezoksy [38]
3 years ago
8

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-​

Mathematics
2 answers:
zloy xaker [14]3 years ago
5 0

Answer:

m<ZNM = 138 degrees

Step-by-step explanation:

Ber [7]3 years ago
5 0

Answer:

  • 138°

Step-by-step explanation:

<u>We can observe that:</u>

  • ∠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

<u>Consider sum of interior angles in quadrilateral WENZ:</u>

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

<u>Substitute values and find the missing angle:</u>

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