In triangle ABC , AB = AC and angle A = 60 degree , AB = 3 X + 5 , BC = 3 y + 2 and AC = 7 x - 11 . find the values of x and y.
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Answer:
x=4
y=5
Step-by-step explanation:
AC=AB
so,
3x +5=7x-11
7x-3x=11+5
4x = 16
x=16/4 =4
since AC=BC
angle ACB = angle ABC
angle ACB+angle ABC=180-60=120
ie,angle ACB = angle ABC= 120/2=60
since all angles are equal all sides are also equal
so, 3x+5=3×4+5=17
so ,3y +2 = 17
3y=17-2=15
y =15/3
= 5
so, x=4
y=5
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