Question

find the value of x in in the given figure..plzz answer

Answer 1

Here is your answer mate
55°+30°+45°+x=180°
130°+x=180°
x=180°-130°
x=50°

Kindly mark as brainliest

Answer 2

Hope u like my process
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Now.. In the figure,

Let there are 2 triangle

Triangle ABD and triangle ACD.

Note:-
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sum of the angles of triangles= 180°
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For triangle ACD,
Let the angle marked by yellow be a

=> 30 + a + 55/2 = 180

or, a = 180 - 30 - 55/2___(1)
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Now,

For triangle ABD,
Let the angle marked by yellow be b.

=> 45 + b + 55/2 = 180

or, b = 180 - 45-55/2___(2)

Adding equation (1) and (2) we get,

=> a +b = 180 +180 - 30 - 45 - 55

or, a +b = 230°
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Note:-
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A whole circle has 360°

So..
=> a + b + x = 360°

or, x = 360 - (a+b)

or, x = 360 - 230 = 130°

So, the required value of x = 130°

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Alternative method:-
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For an exterior angle,

Exterior angle = sum of interior angle.

So,

=> X = 55 + 45 + 30 = 130°

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Hope this is ur required answer

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