Question

find the value of x and y in the given figure

Answer 1

since a straight line make 180 and according to it 120 + y =180 y = 180–60 ,, y = 60 and the sum of angle of triangle is 180 that is x + y + 50 = 180...
hence x + 60+50=180
x =180-110
x=70
i hope this will be helpful to you

Answer 2

Given:

Exterior angle=120°

To find:

The value of x and y

Solution:

The value of x is 70° and y is 60°.

We can find the values x and y by following the steps given below-

We know that the sum of interior opposite angles is equal to the exterior angle of the triangle.

The exterior angle of the triangle=120°

The interior angles are x and 50°.

50°+x=120°

x=120°-50°

x=70°

Now, the sum of the angle y and the exterior angle is 180° as they form a linear pair.

y+120°=180°

y=180°-120°

y=60°

Therefore, the value of x is 70° and y is 60°.