Question

the sum of the angle of two triangle is 120 and the difference is 20 find the all angle of a triangle​

Answer 1

Answer:-

Let the angles of the triangle be x and y.

Given:

sum of the angles = 120°

→ x + y = 120° -- equation (1)

And,

Difference of the angles = 20°

→ x - y = 20° -- equation (2)

Adding equations (1) & (2) we get,

→ x + y + x - y = 120° + 20°

→ 2x = 140°

→ x = 140/2

→ x = 70°

Substitute the value of x in equation (1).

→ x + y = 120°

→ 70° + y = 120°

→ y = 120° - 70°

→ y = 50°

Let the third angle be z.

We know that,

Sum of three angles of a triangle = 180°

Hence,

(x + y) + z = 180°

→ 120° + z = 180°

→ z = 180° - 120°

→ z = 60°

Therefore, the measures of three angles of the triangle are 70° , 50° , 60°.

Answer 2

Answer:

50 70 60

Step-by-step explanation:

x+y=120

x-y=20

2x=140

x=70

y=50

180-120

60