Question

The angles of a qaudileteral are x,2x,100 and 110 degress find the value of 2x

Answer 1

X=50; 2x=2×50=100

Explanation:

sum of angles in a quadrilateral is 360°

Therefore; x+2x+100+110=360;

3x+210=360;

3x=360-210;

3x=150;

divide both sides by the co-efficient of x;

3x/3=150/3;

x=50;

therefore 2x=2×50;

2x=100.

Answer 2

Explanation:

Hey there!!!!

We generally sum up all the angles to get 360° as per given in our question.

Here, in your question, we have values as,

x, 2x, 100°, 110°.

(We have 360° as the sum quadrilateral).

So, x° + 2x° + 100°+110° = 360°

3x°+210°= 360°

3x° = 360° - 210°

or, 3x° = 150°

`x = (15 0 )/(3)`

Therefore the measure of 2x is (2×50)°=100°.

Hopeit helps...