Answer:
Measure 1 is 112º
You know that 112º is the closest answer because you can see the angle is obtuse. And obtuse is an angle less than 180 but more than 90º
Step-by-step explanation:
So a straight line is equal to 180º so just set the equations equal to 180. Your final equation should look like (3x + 22) + (2x + 8) = 180
Now all you have to do is solve for x.
3x + 22 + 2x + 8 = 180
Combine like factors
3x + 2x = 5x
22 + 8 = 30
Now your equation should look like 5x + 30 = 180
Subtract 30 from both sides. -30 -30
----------
150
So now the equation should look like 5x = 150
Divide both sides by 5, 150/5 = 30
SO x = 30
Plug 30 in to the equation to check your answer
(3*30 + 22) = 112
(2*30 + 8) = 68
112 + 68 = 180
