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Two angles are supplementary. They have measures of (7x + 2)° and (3x - 2)° , respectively. What is the value of x?

Answer 1

Wyatt Anderson

#x = 18#

Supplementary angles sum to #180^o#

Therefore: #(7x+2) + (3x-2) = 180# #10x = 180# #x = 18#

Hence, #x = 18#

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Answer 2

Sadie Adams

#x=18#

#• " Supplementary angles sum to "180^@#

#rArr7xcancel(+2)+3xcancel(-2)=180#

#rArr10x=180#

#"divide both sides by 10"#

#(cancel(10) x)/cancel(10)=180/10#

#rArrx=18#

#"thus the measure of the 2 angles are"#

#7x+2=(7xx18)+2=126+2=128^@#

#3x-2=(3xx18)-2=54-2=52^@#

#"and "128^@+52^@=180^@#

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Answer 3

James Atkins

To find the value of ( x ), use the fact that supplementary angles add up to ( 180^\circ ).

( (7x + 2) + (3x - 2) = 180 )

Combine like terms:

( 7x + 2 + 3x - 2 = 180 )

( 10x = 180 )

Divide both sides by 10:

( x = 18 )

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Answer from HIX Tutor

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