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Solnce55 [7]
2 years ago
8

Please help!!!! 2 questions 50 points!!!!

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
7 0

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

<u>The missing angles</u>

  • Both the unknown angles have the same value as the other two angles in the triangles are the same
  • ∠(missing) = 180 - (72 x 2)
  • ∠(missing) = 180 - 144
  • ∠(missing) = 36°

⇒ The sides are <u>equal</u>

⇒ Angles are <u>not 90°</u>

⇒ It is a <u>rhombus</u>

<u></u>

<u>Question 2</u>

  • The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
  • NY = NW (given)
  • XN = NZ (given)
  • ∠XNY = ∠WXZ (vertically opposite angles)
  • ΔXNY ≅ ΔWXZ (SAS)
  • They form <u>two congruent triangles</u> (Statement 2)
  • From these two statements, it is evident the figure is a <u>parallelogram</u>
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