A quadrilateral has angles that measure 56°,97°,136° what is the measure of the fourth angle

The interior angles of a quadrilateral add up to 360 degrees, always.

To find the missing angle, we simply need to add the angles we know, then subtract from 360.

56 + 97 + 136 = 289

360 - 289 = 71

The missing angle is equal to 71 degrees.