Question

Given:

Answer 1

Answer:

x = 60

m∠G = 114 degrees

Step-by-step 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