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Angle F and angle G are complementary.  Angle F measures (2x + 7)∘ and angle G measures 18∘.  Find the value of x and the measure of each angle

 Apr 4, 2022
 #1
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-1

complementary means they sum to 180

162     and   18 

 

2x+7 = 162    solve for 'x'

 Apr 4, 2022
 #3
avatar+565 
-2

Sorry guest, but you have it mixed up --- complementary is sum to 90 --- SUPPLEMENTARY is the term you are proposing to use.

proyaop  Apr 4, 2022
 #4
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Ooops    complementary means they sum to 90

so   72 and 18

 

2x+7 = 72   solve for 'x'

Guest Apr 4, 2022
 #5
avatar+565 
-2

ye ;)

 

thats right

proyaop  Apr 4, 2022
 #2
avatar+565 
-2

Complementary means they sum to 90 degrees.

Thus F + G = 90.

Substituting the values in, we have:

2x + 7 + 18 = 90

2x + 25 = 90

2x = 65

x = 32.5

Angle F = 72 degrees

Angle G = 18 degrees

 

:)

 Apr 4, 2022

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