STEP BY STEP EXPLANATION AND DOUBLE CHECKING: 1. Because you’re trying to find the variable for INTERNAL angles, all the angles will add up to 180. So, you put all the angles = 180 5x+3+3x+x+6=180 2. Add up all like terms 5x+3+3x+x+6 —> 9x+9=180 3. Subtract 9 from both sides 9x+9=180 —> 9x=171 4. Divide 9x=171 —> x=19.
TO DOUBLE CHECK THE ANSWER: Plug 19 into all the variables. ANGLE Q —> 5x+3 —> 5*19+3 —> 98 ANGLE P —> x+6 —> 19+6 —>25 ANGLE R —>3x —> 3*19 —> 57
