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Angle 1 and angle two are supplementary.Angle 2 is vertical to a 75 degree angle. What are the measures of angle 1 and angle 2? and how can I do it

 Feb 21, 2018
edited by Nerd123  Feb 21, 2018

Best Answer 

 #1
avatar+8807 
+2

Angle 1 and Angle 2 are supplementary. This means...

 

m∠1 + m∠2  =  180°

 

Angle 2 is vertical to a 75 degree angle. Since vertical angles are congruent.....

 

m∠2  =  75°

 

Now we can use this value of  m∠2  to find  m∠1 .

 

m∠1 + 75°  =  180°         Subtract  75°  from both sides of the equation.

 

m∠1   =   105°

 Feb 21, 2018
 #1
avatar+8807 
+2
Best Answer

Angle 1 and Angle 2 are supplementary. This means...

 

m∠1 + m∠2  =  180°

 

Angle 2 is vertical to a 75 degree angle. Since vertical angles are congruent.....

 

m∠2  =  75°

 

Now we can use this value of  m∠2  to find  m∠1 .

 

m∠1 + 75°  =  180°         Subtract  75°  from both sides of the equation.

 

m∠1   =   105°

hectictar Feb 21, 2018

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