One of the measures of the angles of a triangle is #25^circ#. If the sum of the measures of the other two angles is #155^circ# and the difference between their measures is #5^circ#, what are the measures of the unknown angles?

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Answer 1 · 2016-12-09T00:38:33

#80^@, 75^@#

Let the two unknown angles be #a, and b#, respectively.

#=> a+b=155^@ .......(1)#
#=> a-b=5^@ ..........(2)#

Adding (1) and (2), we get,
#2a=160^@#
#=> a=80^@#

substituting #a=80# in (2), we get
#=> 80-b=5^@#,
#=> b=75^@#