Question

☆☆ HELLO FRIENDS ☆☆

☆☆ SOLVE THE QUESTION PLEASE ☆☆

☆ NO SPAMS PLEASE

☆ NO COPY PASTE


☺✌

Answer 1

Final Answer is A = 60° ,C = 75° , B = 45°
Steps:

1) A + B + C = 180° ( Angle Sum Property of Triangle)

2) sin (A+B-C ) = sin (A + B + C -2C)
1/2 =sin (180°-2C)
1/2 = sin (2C)
2C = 30° or 150°
C = 15° or 75 °

3)

cos (B +C -A) = 1/2
Similarly as above

cos ( 180° -2A) = 1/2
-cos (2A) = 1/2
cos (2A) = -1/2
2A = 120 °
A = 60 °

4) When C = 15°

By angle sum property of triangle ,
A+B+C = 180°
B = 180-60-15= 105 which is greater than 90° and hence is not an acute angle .
Therefore , C = 15° is rejected .

When C = 75°
B = 45° .
Hope , you understand my answer .

Comment if any doubt exists !

Answer 2

Heya...
Hope it helps...