Question

In △ABC,∠A＝55°,∠B＝∠C+25°,find the values of ∠B and ∠C.​

Answer 1

Answer:

b=75° c=50°

Step-by-step explanation:

angle a = 55°

angle b =c+25°

angle c

a+b+c = 180° (angle sum property)

55°+ c+25°+ c =180°

2c+25° = 180°-55°

2c=125-25

c= 100/2

c=50°

b= c+25°

=50°+25°

=75°

Answer 2

Answer:

sum of interior angles of triangle = 180°

A/q,

= <A + <B + <C = 180°

= 55° + <C+25° + <C = 180°

= 80° + 2<C = 180°

= 2<C = 180° - 80°

= 2<C = 100°

= <C = 100°÷2

= <C = 50°

Now, <B = <C + 25°

<B = 50°+25°

<B = 75°

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