Question

Three angles of a quadrilateral are 50° 70 °and 100° .what is the measure of the

fourth angle​

Answer 1

Let's understand the question.

★ This question says us to find out the measure of the fourth angle of a quadrilateral, and we are given with the three angles of a quadrilateral, so by using the angle sum property of a quadrilateral we can easily find out the measure of the fourth angle of a quadrilateral.

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Let's solve the problem now.

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Given that,

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• We are given with three angles of a quadrilateral are 50°, 70° and 100°.

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And we need to find out the measure of the fourth angle of a quadrilateral.

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Let's consider that, "x" be the fourth angle of a quadrilateral.

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So,

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We know that, if we are given with three angles of a quadrilateral, then we have the required statement, that is,

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• Sum of all four sides of a quadrilateral is 360°.

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This statement is also known as angle sum property of a quadrilateral.

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Now, substituting all the given angles in the required statement, we get::

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→ 50 + 70 + 100 + x = 360

→ 120 + 100 + x = 360

→ 220 + x = 360

→ x = 360 - 220

→ x = 140° (Ans.)

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Hence, the measure of the fourth angle of a quadrilateral is 140°.

Answer 2

Given :- Three angles of a quadrilateral are 50° 70 °and 100° .

To Find :- what is the measure of the fourth angle ?

Solution :-

Let us assume that, fourth angle of the quadrilateral is x° .

so,

→ All three given angles sum + fourth angle = 360° { By angle sum property of a quadrilateral .}

putting all values,

→ (50° + 70° + 100°) + x° = 360°

→ 220° + x° = 360°

→ x° = 360° - 220°

→ x° = 140° (Ans.)

Hence, the measure of the fourth angle is 140° .

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