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If ray QT bisects angle RQS, what would be the measure of one of the resulting angles?

 

 Feb 25, 2021
 #1
avatar+939 
+1

PQS is a straight line, so:

 

(3x - 5) + (x + 1) = 180

4x - 4 = 180

4x = 184

 

x = 46 degrees

 Feb 25, 2021
 #2
avatar+266 
+1

Well done CubeyThePenguin...!

\((3x - 5) + (x + 1) = 180\)

 

\(3x-5+x+1=180\)

 

\(3x+x-5+1=180\)

 

\(4x-5+1=180\)

 

\(4x-4=180\)

 

\(4x-4+4=180+4\)

 

\(4x=184\)

 

\(\frac{4x}{4}=\frac{184}{4}\)

 

\(x=46\)

 

cheekycheekycheeky

 Feb 25, 2021
 #3
avatar+1470 
+1

3x - 5 + x + 1 = 180         x = 46

 

To answer the question... ∠RQT ≅ ∠SQT = 46/2 = 23 degrees laugh

 Feb 25, 2021

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