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Question
If three angles of a quadrilateral are each equal to 75°, the fourth angle is ______.
Options
150°
135°
45°
75°
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Solution
If three angles of a quadrilateral are each equal to 75°, the fourth angle is 135°.
Explanation:
Given: Three angles of quadrilateral = 75°
Let the fourth angle be x.
As we know that sum of interior angles of quadrilateral is equal to 360°.
So, 75° + 75° + 75° + x = 360°
225° + x = 360°
x = 360° – 225°
x = 135°
Therefore, the fourth angle is 135°.
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