Angle A: x+8y-1 Angle B: 3y+4 Angle C: 7x+5 Find the measure of each angle whose degree measure is represented with variables. How do you find the measure of each angle?

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Answer 1 · 2017-07-28T07:26:14

Assuming these angles are of a triangle # ABC# and the angles have got integer value only.

So #/_A+/_B+/_C=180^@#

#=>x+8y-1+3y+4 + 7x+5=180^@#

#=>8x+11y =(180-8)^@#

#=>8x+11y =172^@#

Trial solution when #x=5# then #y=(172-40)/11=12#

Then

#/_A=x+8y-1=(5+8xx12-1)^@=100^@#

#/_B=3y+4=(3xx12+4)^@=40^@#

#/_C=7x+5=(7xx5+5)^@=40^@#