Question

find value of x in the following figure
please solve it
full method
​

Answer 1

Here,

• Angles (x)° & (x-44)° form a linear pair.

We know,

Angles in the linear pair sums to 180°

So,

$\mapsto \sf{}x + (x - 44) = 180 \\ \mapsto \sf x + x - 44 = 180 \\ \mapsto \sf \: \: \: 2x - 44 = 180 \\ \mapsto \sf \: \: \: 2x = 180 + 44 \\ \mapsto \sf \: \: \: 2x = 224 \\ \\ \mapsto \sf \frac{2x}{2} = \frac{224}{2} \\ \\ \mapsto \sf \: \: \: \: x = 112 \degree$

Hence,

• Value of x is 112°
• Value of (x-44) is 68°

Answer 2

Answer:

Answer

Step-by-step explanation:

From the above figure,

sum of a straight line on one side is 180°

\_ABC=x-44°

\_ABD=x

Now, \_ABC+\_ABD=180° [Sum of a straight line is 180°]

x-44°+x=180°

2x-44°=180°

2x=180°+44°

2x=224°

x=112°

so, value of X is 112°

Now it later may also ask you that find the two angles

so one is given x=112°

and another ANGLE is x-44°

112°-44°

=68°

so, two angle is 112°and 68°

QUICK CHECK

SUM OF A STRAIGHT LINE IS ON ONE SIDE IS 180°

so, add 112°+68°=180°

So answer is hence it is verified ✅✅