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1:  In triangle ABC, the measure of angle A is x degrees, the measure of angle B is 2x degrees and the measure of angle C is 5x degrees. What is the value of x? Express your answer as a decimal to the nearest tenth.

 

2:  Find the value of x in the diagram below.

Thanks so much!

AnonymousConfusedGuy  Jan 24, 2018
 #1
avatar+89775 
+3

1). The sum of the angle measures of a triangle  = 180°

 

This implies that :

 

x + 2x  + 5x   = 180

 

8x  =  180       divide both sides by 8

 

x  = 180/8  =  22.5” 

 

2)   The angle marked  x°  is supplemental to the 75°  angle....this is because a transversal that cuts parallel  lines makes corresponding angles equal

 

Therefore....

 

x  +  75  =  180          subtract 75  from both sides

 

x  = 105°

 

 

 

cool cool cool

CPhill  Jan 24, 2018
 #2
avatar+1442 
+3

Thank you so much!  I think I'm getting the hang of this now...  Probably won't need help for a while!

AnonymousConfusedGuy  Jan 24, 2018

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