Two angles are supplementary. One of the angles is 3 degrees less than twice the other. What is the measure of the angles?

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Answer 1 · 2016-01-11T02:07:31

#61˚,119˚#

#angle1=x#
#angle2=2x-3#

Since the angles are supplementary, we know that #angle1+angle2=180#.

Thus,

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

#3x-3=180#

#3x=183#

#x=61#

Plug this into the values of #angle1# and #angle2#.

#angle1=x=mathbf(61^@#
#angle2=2x-3=mathbf(119^@#