Question

The angles of the quadrilateral are having measures of 50° ,130° and 120° find the measure of the fourth angle of the quadrilateral.

Answer 1

Given:

• Three angles of the quadrilateral are 50°, 130° and 120°.

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To find:

• Fourth angle of the quadrilateral.

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Solution:

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☯ Let fourth angle of quadrilateral be x.

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As we know that,

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• Sum of all angles of a quadrilateral is 360°.

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Therefore,

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➯ 50° + 130° + 120° + x = 360°

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➯ 300° + x = 360°

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➯ x = 360° - 300°

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➯ x = 60°

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∴ Hence, Fourth angle of the quadrilateral is 60°.

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• Quadrilateral: - "Quad" means four and "lateral" means sides. All closed figures with four sides are called quadrilaterals.

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★ Properties of quadrilateral:

• 4 vertices and 4 sides enclosing 4 angles

• 2 - dimensional closed figure.

• The sum of all interior angles of a quadrilateral is 360°.

Answer 2

Answer :-

✯ 60 ✯

Given :-

• Three angle of Quardilateral = 50,130,120

To find :-

Measure of fourth angle

SoluTion :-

Let the fourth angle be x

Now,

As we know that sum of exterior angle of Quardilateral is 360⁰.

Therefore,

➙ 50 + 130 + 120 + x = 360

➙ 300 + x = 360

➙ 360 - 300 = x

➙ 60 = x

Let's verify

➙ 50 + 130 + 120 + 60 = 360

➙ 180 + 180 = 360

➙ 360 = 360

LHS= RHS

➥ Fourth angle = 60⁰