Two alternate interior angles have measures of (2x + 10)º and (3x-15)º. What is the measure of each?

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Answer 1 · 2016-01-06T15:57:36

Each angle #=60^o#

The two alternate interior angles provided are:

#(2x+10)^o# and,
#(3x-15)^o#

A pair of alternate interior angles as per property ,have equal values.

#(2x+10)^o =(3x-15)^o#

#(10 +15)^o =3x-2x#

#25^o =x#

So,

angle 1: #(2x+10)^o = 2xx 25 +10 = 60^o#
angle 2: #(3x-15)^o = 3xx25 -15 =60^o#