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Geometry worksheet to help students construct angles with measures that are sums or multiples of the measures of given angles.
Geometry worksheet to help students construct angles with measures that are differences or multiples of the measures of given angles.
​Activity 2B

Construction: Adjacent Angles

 
Objective
Construct an angle with a measure that is a sum, difference, or multiple of the measures of given angles.
 
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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.

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