Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Angles and Constructions, Exercise 4: Exercise 5.3

Three angles of a quadrilateral are $60°, 75°$ and $130°$. Calculate the fourth angle of the quadrilateral.

Three angles of a quadrilateral are $60°, 75°$ and $130°$. Draw a quadrilateral with these angles. The $60°$ angle must be opposite the $75°$ angle, as shown in the diagram.

Three angles of a quadrilateral are $60°, 75°$ and $130°$. Draw a quadrilateral with these angles. The $60°$ angle must be opposite the $130°$ angle.

Try to draw a quadrilateral where three of the angles are $120°$. What happens? Why?

Make an accurate drawing of this quadrilateral.

You are given the size of every side and angle. Did you need all this information to draw the quadrilateral? What is the least number of measurements you need to draw the quadrilateral accurately?

Describe the least set of measurements you need in general to draw a quadrilateral accurately.

Use the measurements shown to make an accurate drawing of this quadrilateral.