Question

pomieThe measures of three of the exterior angles of a convex quadrilateral are 90°, 76°, and 110°. What is the measure of txterior angle at the fourth vertex?tyne your ansvar

Answer 1

84º

1) Since the sum of the exterior angles of a quadrilateral is equal to 360º

we can write, and considering the four vertices of a quadrialateral. We can write:

90+76+110 +x = 360º Add the measures

276+x=360º

x=360º-276º

x=84º

2) Hence the answer is 84º for the fourth angle.