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A quadrilateral has three acute angles, each measuring 75°. Find the measure of the fourth angle. |
Answer» Three angles are acute angle and each measuring is 75° means \(\angle\)A = \(\angle\)B = \(\angle\)C = 75° (Acute angle is angle whose measuring is greater than 0 and less than 90.) As we know that, Sum of all four angles of quadrilateral is 360o \(\angle\)A + \(\angle\)B + \(\angle\)C + \(\angle\)D = 360° 75° + 75° + 75° + D = 360° \(\angle\)D = 360° - (75° + 75° + 75°) = 360° - 225° = 135° So, fourth angle of quadrilateral is 135°. |
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