Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:
[tex]93+(3x+18)=180[/tex]
Now, using algebra, we can solve for x:
[tex]111+3x=180[/tex]
[tex]3x=69[/tex]
[tex]x=23[/tex]
Plugging x back into the equation, we get:
[tex]3(23)+18=87[/tex]
Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
