A quadrilateral has three acute angles, each measuring 75°. Find the measure of the fourth angle.

Three angles are acute angle and each measuring is 75° means


A = B = 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.


A + B + C + D = 360°


75° + 75° + 75° + D = 360°


D = 360° - (75° + 75° + 75°)


= 360° - 225°


= 135°


So, fourth angle of quadrilateral is 135°.


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