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Quadrilateral Exterior Angles Practice
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Quadrilateral Exterior Angles Practice
For each quadrilateral, use one exterior angle at each vertex, measured in the same direction. Show your working for calculations. Remember: an interior angle and its adjacent exterior angle form a straight line.
The 360° rule
A delivery robot turns at the corners of a quadrilateral-shaped route. Its four turning angles are the exterior angles.
1.The robot makes one complete turn as it travels around the route. What is the sum of the four exterior angles?
- 180°
- 270°
- 360°
- 540°
2.A rectangle has four equal exterior angles. Calculate the size of each exterior angle.
3.A quadrilateral route has exterior angles of 82°, 103° and 91° at three corners. Find the fourth exterior angle.
Use the angle clues
Connect interior and exterior angles to solve each geometry challenge.
4.One interior angle at a quadrilateral corner is 127°. What is its adjacent exterior angle?
5.Three exterior angles of a quadrilateral are 68°, 112° and 74°. Choose the missing angle.
- 96°
- 106°
- 116°
- 126°
6.A parallelogram has one exterior angle of 65°. Its adjacent exterior angle is supplementary to it. Find all four exterior angles, starting with the given angle and moving around the shape.
7.A rhombus has one exterior angle of 130°. Find its other three exterior angles, listing them in order around the rhombus, starting at the given corner.
8.A quadrilateral has interior angles of 78°, 104°, 96° and 82°. Calculate the corresponding exterior angles, then check their total.
9.True or false? If you know three exterior angles of a quadrilateral, you can always calculate the fourth. Explain using the angle-sum rule.
10.Sketch any convex quadrilateral and label one exterior angle at each corner a, b, c and d. Write an equation connecting the four angles.
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