Answer: m∠G = 41°
Explanation:
Opposite angles of parallelograms are congruent. This means that m∠G = m∠E, so we can write an equation using the given information.
Given:
m∠G = m∠E
Substitue:
5x - 9 = 3x + 11
Add 9 to both sides of the equation:
5x = 3x + 20
Subtract 3x from both sides of the equation:
2x = 20
Divide both sides of the equation by 2:
x = 10
Then, we will substitute this value of x back into the expression for m∠G.
5x - 9 = 5(10) - 9 = 50 - 9 = 41°