Question

. Find the measure of the fourth angle if the measure of the three angles of a quadrilateral is given G) 105°, 93° and 85° i1i) 72°, 84° and 111° ii) 45°, 121° and 68° (iv) 91°,93° and 95 (v) 147, 69° and 55° (vi) 103°, 67° and 82​

Answer 1

Let the fourth angle be x

105° + 93° + 85° + x = 360°

x = 360° - (105° + 93° + 85°)

x = 360° - 283°

x = 77°

72° + 84° + 111° + x = 360°

x = 360° - (72° + 84° + 111°)

x = 360° - 267°

x = 93°

45° + 121° + 68° + x = 360°

x = 360° - (45° + 121° + 68°)

x = 360° - 234°

x = 126°

91° + 93° + 95° + x = 360°

x = 360° - (91° + 93° + 95)

x = 360° - 279°

x = 81°

147° + 69° + 55° + x = 360°

x = 360° - (147° + 69° + 55°)

x = 360° - 271°

x = 89°

103° + 67° + 82° + x = 360°

x = 360° - (103° + 67° + 82°)

x = 360° - 252°

x = 108°