How do I solve this problem? ​

So, to figure out the second answer, we must figure out the first one. I will write all of the steps below:

 

First, we need to make an equation to figure out x.

 

x + x + 82 + x - 7 = 180

Because the angles in a triangle always add up to 180 degrees.

 

x + x + x + 82 - 7 = 180

 

3x + 75 = 180

 

3x = 105

 

x = 35

 

So, x = 35. Now, let's figure out the measure of angle Q.

 

Q = x + 82

 

Q = 35 + 82

 

Q = 117

 

So, Q = 117

 

 

Answer:

 

x = 35

Q = 117

It's easy...

 

x + 82 + x - 7 + x = 180

3x = 105

x = 35

Angle Q = 35 + 82 = 117º