Question

Three interior angles of a quadrilateral measure 55ã‚â°, 117ã‚â°, and 120ã‚â°. what is the measure of the fourth interior angle? 68ã‚â° 78ã‚â° 88ã‚â° 98ã‚â°

Answer 1

68°

Explanation:

the sum of the interior angles of a quadrilateral is 360°

let x be the measure of the fourth angle , then sum the interior angles and equate to 360°

x + 55° + 117° + 120° = 360°

x + 292° = 360° ( subtract 292° from both sides )

x = 68°

the measure of the fourth interior angle is 68°