Question

find the value of x in the above given figure

instructions:-

plz follow

*the answer should be with a proper diagram
*and should be well explained with a proper statement.


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Answer 1

Answer:

270°

Step-by-step explanation:

Let name the 3 angles respectively A,B & C.

and in middle point, how much remain without x just opposite of x , let name it as y

Now, A=45°

B=25°

C=25°

and y= 360°–x

Here, y=2A [theorem]

∴y= 90°

Now,

90°=360°–x

⇒ x= 360°–90°= 270°

Answer 2

We know,

Measure of all the angles of a quadrilateral is 360°

The above figure is also a quadrilateral.

Let mark the angles.

Angle 1 = 45° ( given)

Angle 2 = 25° ( given)

Angle 3 = 20° ( given).

Angle 4 = x

Therefore,

45° + 20° + 25° + x = 360°

=> 90° + x = 360°

=> x = 360° - 90°

=> x = 270°

Angle x in the figure is a reflex angle measure 270°

Hope my answer was helpful to you my friend ❤