The sum of two angles, #2x+10# and #3x+15# is 110 degrees. What is the value of #x#?

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Answer 1 · 2018-03-07T17:38:11

#x=19#

Solution:

#2x+10+3x+15=110#

Collect the like terms together by adding unknown on the right-hand side of the equal sign and taking the known on the left-hand side,

Doing so the known changes their signs from positive to negative that is;

#2x+3x=110-10-15#

#5x=95#

Divide both sides by #5#, that is

#(5x)/5=95/5#

Therefore,

#x=19#