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Question
Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is ______.
Options
90º
95º
105º
120º
Solution
Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is 120º.
Explanation:
Given: 3 angles of quadrilateral - 75°, 90° and 75°
Let the fourth angle be x.
We know that,
Sum of all angles of a quadrilateral = 360°
⇒ 75° + 90° + 75° + x = 360°
⇒ 240° + x = 360°
⇒ x = 360° – 240°
⇒ x = 120°
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