Question

$\angle 1$ and $\angle 2$ are supplementary.$m\angle 1 = 124^\circ$$m\angle 2 = (2x + 4)^\circ$what is the value of $x$?select from the drop-down menu to correctly answer the question.$x = \text{choose...}$

Explanation:

Step1: Define supplementary angles

Supplementary angles sum to $180^\circ$, so:
$$m\angle1 + m\angle2 = 180^\circ$$

Step2: Substitute given values

Plug in $m\angle1=124^\circ$ and $m\angle2=(2x+4)^\circ$:
$$124 + (2x + 4) = 180$$

Step3: Simplify left side

Combine constant terms:
$$2x + 128 = 180$$

Step4: Isolate variable term

Subtract 128 from both sides:
$$2x = 180 - 128$$
$$2x = 52$$

Step5: Solve for x

Divide both sides by 2:
$$x = \frac{52}{2}$$

Answer:

$x=26$