What is the value of y? y =

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Answer 1 · 2017-12-13T00:37:15

#y=5# Degrees

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We know the sun of the angles of any triangle is #180#. Therefore:

#4y+10+3x+75=180#

#4y+3x+85=180#

#4y=180-3x-85#

#4y=95-3x#

#y=(95-3x)/4#

But since the triangle shown is an isosceles triangle, the two base angles are congruent:

#3x=75#

We will plug this in:

#y=(95-75)/4=20/4=5# Degrees

Answer 2 · 2017-12-13T00:39:52

#y=5#

#AC# and #AB# are equal so,

#3x = 75#

Sum of all the internal angles of a triangle is #180^@#.

#(4y+10) + 75 + 3x = 180#
#4y+10 + 3x = 105#
#4y+ 3x = 95#

From above,

#4y + 75 = 95#
#4y = 20#
#y = 5#