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:
130°
310°
155°
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° =
⇒ x° = 130°
Hence, option 1 is the correct option.
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