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Help with angles plz!  What is angle B?

 

 Jan 13, 2024

Best Answer 

 #1
avatar+288 
+1

c = a + b

 

a = 2b - 15

 

a + b + c = 180

 

So, 2a + 2b = 180

 

Plugging in 2(2b - 15) for 2a, we get:

 

4b - 30 + 2b = 180

 

6b - 30 = 180

 

6b = 210

 

b = 35

 

a = 2(35) - 15

 

a = 70 - 15

 

a = 55

 

55 + 35 = c

 

c = 90

 

a = 55, b = 35, c = 90

 

b = 35

 

Answer: 35

 Jan 13, 2024
 #1
avatar+288 
+1
Best Answer

c = a + b

 

a = 2b - 15

 

a + b + c = 180

 

So, 2a + 2b = 180

 

Plugging in 2(2b - 15) for 2a, we get:

 

4b - 30 + 2b = 180

 

6b - 30 = 180

 

6b = 210

 

b = 35

 

a = 2(35) - 15

 

a = 70 - 15

 

a = 55

 

55 + 35 = c

 

c = 90

 

a = 55, b = 35, c = 90

 

b = 35

 

Answer: 35

DS2011 Jan 13, 2024

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