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katrin [286]
3 years ago
15

Find the value of the unknown angle X.

Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

x = 130^{o}

Step-by-step explanation:

The given figure is a trapezium which is a quadrilateral with four sides.

But,

Sum of angles in a quadrilateral = (n - 2) x 180

where n is the number of sides.

For a quadrilateral, n = 4. So that,

Sum of angles in a quadrilateral = (4 - 2) x 180

                             = 2 x 180

                             = 360^{o}

The sum of angles in a quadrilateral is 360^{o}.

Thus,

158^{o} + 51^{o} + x^{o} + 21^{o} = 360^{o}

x^{o} + 230^{o} = 360^{o}

x^{o} = 360^{o} - 230^{o}

   = 130^{o}

The value of x is 130^{o}.

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