m∠5=112° and m∠8=(2x+8)°. What equation will solve for x?
(px°+
°=
°oints)
To find the equation that will solve for x, we need to find the relationship between angle 5 and angle 8.
We know that angle 5 measures 112° and angle 8 measures (2x + 8)°.
Since angle 5 is supplementary to angle 8 (supplementary angles add up to 180°), we can write the equation:
m∠5 + m∠8 = 180°
Substituting the given values, we get:
112° + (2x + 8)° = 180°
Simplifying the equation further, we have:
2x + 120° = 180°
Now, to solve for x, we can subtract 120° from both sides of the equation:
2x = 180° - 120°
2x = 60°
Finally, dividing both sides of the equation by 2, we get:
x = 30°
Therefore, the equation that will solve for x is:
2x + 120° = 180°