Question

the three angles of a triangle are (x-20),(x-40),(x/2-10) find the value of x .​

Answer 1

Answer:

100 degree

Step-by-step explanation:

The angles of a triangle are ( x − 40 )°, ( x − 20 )° and ( 1/2 x − 10 )°

 Sum of all angles of triangle = 180°  ( x − 40 )° + ( x − 20 )° + ( 1/2 x − 10 )°

= 180°  5/2 x – 70° = 180° 5/2

= 180° + 70°  5x

= 2(250)°  

x = 500/5  

x = 100°

Answer 2

Answer:

Sum of angles of a triangle is 180°

the angles are (x-40) , (x-20) and (x/2 - 10).

Sum = (x-40) + (x-20) + (x/2 - 10) = 180

⇒ 5x/2 - 70 = 180

⇒ 5x/2 = 180+70 = 250

⇒ x = 250×2/5  

⇒ x = 100

Angles are:

x-40 = 100 - 40 = 60

x - 20 = 100 - 20 = 80

x/2 - 10 = 100/2 - 10 = 40