What is the range of 47,47,14,40,61

Hey there!!

Important concepts to remember:

Keeping all this in mind:

Let's take the base angle as 'y'

Then, the angles in this triangles would be :

... y , y , 40

Their sum would be 180°

... y+y+40=180

... 2y+40=180

... 2y=180-40

... 2y=140

... y=140/2

... y=70

Hence, the base angles are 70°

Now, the value of x° = 40 + 70

Hence, the value of x° is 110°

We could also find this by using linear pair:

...The base angle and the angle 'x' form a linear pair.

Hence,

... x + 70 = 180

... x = 180 - 70

... x = 110°

Hence, the value of x is 110.

Hope this helps!