Well, darling, the sum of the interior angles of a quadrilateral is 360 degrees. So, if you add up 90, 145, and 78, you get 313. To find the fourth angle, you subtract 313 from 360, giving you 47 degrees. Voila!
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An angle that measured 145 degrees would be considered an "obtuse" angle because its measurement exceeds 90 degrees. Anything below 90 degrees would be considered an "acute" angle.
90-78= 12 degrees
An angle of 145 degrees is an obtuse angle because it is greater than 90 but less than 180 degrees.
One fourth of 90o = 90/4 = 22.5o
An angle of 78 degrees is an acute angle because it is greater than 0 but less than 90 degrees.