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Answer 1 · 2017-07-07T21:36:44

#x = 23.5^@#
#y = 135.5^@#
#z = 44.5^@##

Because both sides of the two angle are parallel, their measure is the same, therefore we can write the equation:

#2x-13^@ = 6/5x + 10^@#

Solve for x:

#4/5x = 23^@#

#x = 5/4 23^@#

#x = 28.75^@#

Angle z is the same measure as either expression:

#z = 2x-13^@ = 6/5x+10^@#

#z = 44.5^@#

Angle y is supplementary to angle z, therefore, to obtain the measure of y, we subtract z from #180^@#

#y = 180^@-z#

#y = 135.5^@#