Question

The three angles of a quadrilateral are 72,58,104 and x. The value of x is ​

Answer 1

Answer:

126 degrees

Step-by-step explanation:

the sum of angles in a quadrilateral is 360 degree.

72 + 58+104+x = 360

234 +x = 360

x = 360-234

x = 126

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Answer 2

➲ Given: Three angles of a quadrilateral are 72°, 58°, 104°.

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❏ Let the fourth angle be x.

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We know that sum all angles in a quadrilateral is 360° or we can say that angle sum property of a quadrilateral is 360°.

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According to the question

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→ 72° + 58° + 104° + x = 360°

→ 234° + x = 360°

→ x = 360° - 234°

→ x = 126°

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Hence, the fourth angle of the quadrilateral is 126°.

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⠀⠀⠀Some angle sum properties

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⟹ Angle sum property of a triangle = 180°

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⟹ Angle sum property of a quadrilateral = 360°

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⟹ Angle sum property of a pentagon = 540°

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⟹ Angle sum property of a hexagon = 720°