Answer:
x = 60
m∠G = 114 degrees
Explanation:
- In any parallelogram, every two opposite angles are equal in measures
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