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Question
A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is ______.
Options
150°
120°
105°
140°
Solution
A quadrilateral has three acute angles. If each measures 80°, then the measure of the fourth angle is 120°.
Explanation:
Let the fourth angle be x,
Then 80° + 80° + 80° + x = 360° ...[Sum of all the angles of quadrilateral is 360°]
⇒ 240° + x = 360°
⇒ x = 360° – 240°
⇒ x = 120°
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