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Question

 z equals x plus 30z=x+30 and x plus y equals 110.x+y=110. Determine a third equation involving x, y, and z, and then find the measures of the three angles

Answer 1

z= x+30

x+y = 110

x+y +z = 180

110+z = 180

z = 180-110 = 70

z =70

z =30+x

70 =30 +x

x = 70-30 = 40

x+y = 110

40 + y = 110

y = 110 -40 = 70

x = 40, y = 70, z =70

the 3 angles are 40 degrees, 70 degrees and 70 degrees

all 3 angles of a triangle sum to 180 degrees