Answer:
Step-by-step explanation:
Given :
In the given quadrilateral ABCD,
BN and DM are the perpendiculars drawn to AC such that,
BN = DM
To prove:
Point O is the midpoint of segment BD.
Or
OD = OB
Solution:
In ΔOMD and ΔONB,
∠MOD ≅ NOB [Vertical angles]
∠M ≅ ∠N ≅ 90° [Given]
Therefore, by AA property of similarity,
ΔOMD ~ Δ ONB
Therefore, their corresponding sides will be proportional,

Since BN = DM,
OD = OB
Hence O is the midpoint of BD.
No te parece que das muy poco puntos para una pregunta tan complicada eh
Answer:
x = 14.5
Step-by-step explanation:
Exterior angle thm
<C = <D
7x - 2 = 9x - 31
7x - 9x = -31 + 2
-2x = -29
x = 14.5