Given: EFGH is a parallelogram.
Given : EFGH is a parallelogram
Find x and mG.
F
G
(x + 54)
E
(2x - 6)
H
X=?
m degrees

x = 60

m∠G = 114 degrees

Step-by-step explanation:

In the given figure

∵ EFGH is a parallelogram

∵ ∠E and ∠G are opposite angles

→ By using the rule above

∴ m∠E = m∠G

∵ m∠E = (2x - 6)°

∵ m∠G = (x + 54)°

→ Equate them

∴ 2x - 6 = x + 54

→ Subtract x from both sides

∵ 2x - x - 6 = x - x + 54

∴ x - 6 = 54

→ Add 6 to both sides

∵ x - 6 + 6 = 54 + 6

∴ x = 60

→ Substitute the value of x in the expression of ∠G to find it

∵ m∠G = 60 + 54

∴ m∠G = 114 degrees

b. x + 1

step-by-step explanation:

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she drove 134 miles

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