Respuesta :
Answer: 127 degrees
Step-by-step explanation:
I hope this helps
E F
H G
I had to write it out the parallelogram so I could have a better visual.
F and G are consecutive angles in a parallelogram (not on opposite sides).
This means they add to be 180 degrees.
F+G=180
(3x-10)+(5x+22)=180
(3x+5x)+(-10+22)=180
8x +12=180
Subtract 12 on both sides:
8x =180-12
Simplify:
8x =168
Divide both sides by 8:
x =168/8
x =21
If x=21 and want the measurement of angle G, then
(5x+22)=(5*21+22)=127.
So angle G has measurement 127 degrees.
The the measure of angle G will be 127°. Then the correct option is D.
What is a parallelogram?
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
In parallelogram, the sum of the two adjacent angle is 180 degrees.
In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°.
The angle F and angle G are the adjacent angle.
The sum of angle F and angle G is 180°.
∠F + ∠G = 180°
3x - 10 + 5x + 22 = 180
8x = 168
x = 21
Then the the measure of angle G will be
∠G = (5x + 22)°
∠G = (5 × 21 + 22)°
∠G = (105 + 22)°
∠G = 127°
The the measure of angle G will be 127°.
Then the correct option is D.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
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