#angleDEF# and #angleFEG# are supplementary. #mangleDEF =(9x+ 1)# and #mangleFEG=(8x+9)#, how do you find the measures of both angles?

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Answer 1 · 2018-03-24T09:21:14

# < DEF=91^0#
# < FEG=89^0#

Supplementary angles add up to #180^0#

#:.8x+9+9x+1=180#

now solve for #x#

#17x+10=180#

#17x=170#

#:. x=10^0#

# < DEF=9x+1=9xx10+1=91^0#

#<FEG=8x+9=8xx10+9=89^0#