Question

please solve this correctly
25th sums

Answer 1

Given : /_ A = X° , /_B = ( 3X - 2 )° and /_ C = Y°.

Also given that : /_ C - /_ B = 9°

Y° - ( 3X - 2 )° = 9

Y° - 3X + 2 = 9°

Y° = ( 9° + 3X - 2° )

Y° = ( 3X + 7)°

/_ C = Y° = ( 3X + 7 )°

As we know that Sum of all three Angles of a triangle is always equal to 180°.

So,

/_ A + /_ B + /_ C = 180°

X° + 3X - 2 + 3X + 7 = 180°

7X° + 5 = 180°

7X° = 180° - 5°

7X° = 175°

X° = 25°

Therefore,

/_ A = X° = 25°

/_ B = 3X - 2 = 3 × 25 - 2 = 73°

And,

/_ C = 3X + 7 = 3 × 25 + 7 = 82°.