Question

if angle A and angle B are supplementary, and angle A and angle C are supplementary. What conclusion is valid

Answer 1

Answer:

no angle c is not supplementary

Step-by-step explanation:

 

Angle A and angle B are supplementary

 

A+B=180°   Equation 1

 

The measure of angle B is equal to four times the complement of angle A

 

The complement of angle A=90°-A

 

B=4(90°-A)  

 

B=360°-4A

 

Substitute the value of B in equation 1

 

A+360°-4A=180°

 

-3A=-180°

 

A=60°

 

The measure of angle A=60°

 

B=360°-4A=360°-4(60°)=120°

 

The measure of angle B=120°

Answer 2

Answer:

angle A + angle B = 180°

angle A + angle C = 180°

subtracting angle A and 180• from both sides we get,

angle B = angle C