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Use the figure below to name each of the following,

Name a pair of complementary angles.

Name a pair of supplementary angles.

Name a different pair of supplementary angles.

Name a linear pair. 

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Ranti Timario
Ranti TimarioLv10
16 Jan 2021

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Complete the proofs below by giving the missing statements and reasons.

 

Given: is a right angle.

Prove: and are complementary

Statements Reasons

 1.  

  
 2.       
 3.    
 4.    
 5.    

 

Given: ; form a linear pair

Prove: are supplementary

        

Statements Reasons
 1.    
 2.    
 3.    
 4.      
 5.    
 6.    
 7.    

 

Given:  and  forms a right angle

Prove: 

 

Statements Reasons
 1.       
 2.      
 3.     
 4.     
 5.     

 

To further justify the cofunction theorem, use your calculator to find a value for the given pair of trigonometric functions. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary. Round your answers to four places past the decimal point.

 

A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides of a trapezoid are called bases, and the nonparallel sides are called legs. The pairs of consecutive angles that include each of the bases are called base angles. Sketch a trapezoid and label the vertices T, R, A, and P. Identify the bases, legs, and both pairs of base angles.

 

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