In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°. What is the measure of angle G?

42°
53°
117°
127°

Answers

Answer 1

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.

Answer 2

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

#SPJ2


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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divide either side by -2

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Step-by-step explanation:

PEMDAS

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Answers

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

Answer:

100%

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

$0.90 per pound. Hope this helped :)

Step-by-step explanation:

I had this question trust me. Good luck!

Answer:

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Step-by-step explanation:

Find the unit rate as follows:  

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