Out of the three equal angles of a quadrilateral ,each measures 70 degree. The measure of the fourth angle is.
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Answer:
some of the three angles of quadrilateral is 360 degrees
some of the three angles of a quadrilateral in the given problem 210 degrees
4th angle is 360 - 210 = 150 degree
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Given: Each of the three angles of a quadrilateral = 70°.
To find: The measure of the fourth angle
Solution: We know that the sum of all the interior angles in a quadrilateral is equal to 360°.
Now let the fourth angle be x.
According to the question,
70° + 70° + 70° + x = 360°
⇒ 210° + x = 360°
⇒ x = 360° - 210°
⇒ x = 150°
Therefore, the measure of the fourth angle is 150°.
Answer: 150°
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