Question

6. Find the angle measure x in the following figures.
50°
130°
120°
(a)
please tell me these answer in detail​

Answer 1

$\Large \fbox \red {Answer \: :}$

$\implies$ Sum of interior angle of quadrilateral = 360°

50° + 130° + 120° + x = 360°

300 + x = 360

x = 360 - 300

x = 60

$\therefore$ x = 60°

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Answer 2

SolutioN:-

Given angles are 120° , 130 ° and 50°

To find the value of x°

We know that the sum of all interior angles of any quadrilateral is 360°( As given figure is quadrilateral)

❊ So, According to the question

✒ 120 ° + 130 ° + 50° + x° = 360°

✒ 300° + x ° = 360 °

✒ x = 360 ° - 300 °

✒ x = 60°

So, the value of x is 60 °

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✎ Verification:

⇒ 120° + 130 ° + 50° +x = 360°

Now, Substitute the value of x that is 60°

⇒ 120 ° + 130° + 50° + 60° = 360

⇒ 360° = 360°

Hence , verified