Question

23. The measures of the exterior angles of a convex quadrilateral are 90°, 10x°, 5xº, and

45°. What is the measure of the largest exterior angle?

Answer 1

90 + 10x + 5x + 45 = 360

15x + 135 = 360

15x = 225

x = 15

The measure of the largest exterior angle is 10(15) = 150°.