Question

If the measurement of angles of a quadrilateral are (x+ 30)0 , (x + 70)0 , (x+ 90)0 and (x – 50)0 then the value of x is ________________.

Answer 1

Step-by-step explanation:

Answer:-

Given :-

• Sides as :-

1. x + 30°
2. x + 70°
3. x + 90°
4. x - 50°

To find:-

Value of x.

Let's Do!

We know that according to mathematical rules:-

The summation of all angles of a quadrilateral is equal to 360°.

$(x - 50) + (x + 70) + (x + 90 ) + (x + 30) = 360$

$4x + 140 = 360$

$4 x= 360 - 140$

$4x = 220$

$x = \dfrac{220}{4}$

$x = 55$

So, the value of x is 55°.

Note:-

• If we need to find other angles, simply place the value.
• Then, add the algorithm.

*Edit: changed positive sign to negative in x - 50 above.

Answer 2

Given :-

Measurement of angles of quadrilateral

(x + 30)° , (x + 70)° , (x + 90)° and (x - 50)°

To Find :-

• Value of x

Solution :-

We know,

• Sum of all angles of quadrilateral sums up to 360°.

To solve this question, we have to add all the angles and then equate to 360 and then solve the equation -

➩ $\rm (x + 30)+ (x + 70)+ (x + 90) + (x - 50)= 360$

➩ $\rm x + x + x + x + 30 + 70 + 90 - 50 = 360$

➩ $\rm 4x + 140 = 360$

➩ $\rm 4x = 360 - 140$

➩ $\rm 4x = 220$

➩ $\rm x = \frac{22}{4}$

➩ $\rm x = 55$

Value of x = 55°