Question

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

Answer 1

See below ~

Explanation:

Question 1

The missing angles

• 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 equal

⇒ Angles are not 90°

⇒ It is a rhombus

Question 2

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