Question

find ( mangle g ) in parallelogram ( defg ).
( mangle g = square^circ )

Explanation:

Step1: Recognize parallelogram property

Consecutive angles are supplementary: $m\angle E + m\angle G = 180^\circ$

Step2: Substitute angle expressions

$(2x+66) + (x+94) = 180$

Step3: Simplify and solve for $x$

$3x + 160 = 180$
$3x = 20$
$x = \frac{20}{3}$

Step4: Calculate $m\angle G$

Substitute $x$ into $x+94$:
$m\angle G = \frac{20}{3} + 94 = \frac{20}{3} + \frac{282}{3} = \frac{302}{3}$

Answer:

$\frac{302}{3}$ or approximately $100.67^\circ$