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Mathematics

Two angles of a quadrilateral are of 50° each and the other two angles are also equal. The measure of each of these equal angles is:

  1. 130°

  2. 310°

  3. 155°

  4. none of these

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Answer

It is given that two angles of a quadrilateral are each 50°, and the other two angles are equal.

We know that the sum of all angles in a quadrilateral is 360°.

Let the other two angles be x°. So,

⇒ 50° + 50° + x° + x° = 360°

⇒ 100° + 2x° = 360°

⇒ 2x° = 360° - 100°

⇒ 2x° = 260°

⇒ x° = 260°2\dfrac{260°}{2}

⇒ x° = 130°

Hence, option 1 is the correct option.

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