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In triangle $ABC$, the angles $\angle A$, $\angle B$, $\angle C$ form an arithmetic sequence. If $\angle A = 45^\circ$, then what is $\angle C$, in degrees?

 Jan 11, 2024

Best Answer 

 #1
avatar+291 
+1

We can write this as an equation, getting:

 

45+45+x+45+2x=180

135+3x=180

3x=45

x=15

 

We can now add 2x to 45 and get:

 

30+45

75

 

We get that angle C=75

 

Answer: 75°

 Jan 11, 2024
 #1
avatar+291 
+1
Best Answer

We can write this as an equation, getting:

 

45+45+x+45+2x=180

135+3x=180

3x=45

x=15

 

We can now add 2x to 45 and get:

 

30+45

75

 

We get that angle C=75

 

Answer: 75°

DS2011 Jan 11, 2024

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