where students teach themselves
A comprehensive geometry curriculum
Geometry for School and Home
About Geometry Worksheet Activity 2B:
Activity 2B is practice for construction of angles with measures that are a sum, difference, or multiple of the measures of given angles.
Prerequisite Skill: Construct congruent angles (Activity 2A).
How to construct adjacent angles to make an angle with a measure that is the sum of the measures of two given angles with a compass and straightedge:
(Do problem 1 by following the steps below)
1. Use the congruent angle construction to construct an angle at A that is congruent to <C.
2. Use the congruent angle construction to construct an angle adjacent to that angle at A that is congruent to <B
3. The non-common sides of the adjacent angles with vertex A are the sides of the angle with a measure that is the sum of the measures of <B
and <C.