Three angles of a quadrilateral are 72 and 105 . What is the exterior angle of the fourth angle ?

1 answer

The sum of the angles in a quadrilateral is 360 degrees. We are given two angles: 72 and 105.

360 - 72 - 105 = 183

So the total of the third and fourth angles is 183 degrees.

Since the exterior angle of a polygon is equal to the sum of its interior angles, we can subtract 183 from 360 to find the exterior angle of the fourth angle:

360 - 183 = 177

Therefore, the exterior angle of the fourth angle is 177 degrees.
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