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°.