Answer:
Please read the answers below.
Step-by-step explanation:
Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °
5. If LN = 46, then we have:
OM = 46 (Same length than LN)
PN = LN/2 = 46/2 = 23
ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = 32.53 (Rounding to two decimal places)
MN = ON = 32.53
6. m ∠EFG = 90°
m ∠GDH = ∠GDH/2 = 90/2 = 45°
m ∠FEG = ∠DEF/2 = 90/2 = 45°
m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = 90°
7. Solve for x
6x - 21 = ∠PQR/2
6x - 21 = 90/2
6x - 21 = 45
6x = 45 +21
6x = 66
x = 11
