Question

in triangle abc. angle a+angle b =95degree and angle a - angle b =25degree find angles a , b and c

Answer 1

Step-by-step explanation:Let angle a= x " b= y

x+y=95° -----1

x-y=25° ------2

solving 1st n 2 by elimination

x+y=95

×-y=25 (y; -y are cancelled)

--------

2x=95+25

2×=120

×=120/2

×=60 angle a = 60°

finding y

×+y=95

60+y=95

y=95-60

y=35 angle b=35°

sum of all angles of triangle=180

a+b+c=180

60+35+c=180

95+c=180

c=180-95

c=85 angle c = 85°

a=60° b=35° c=85°

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