Question

Question was provided via image upload.

Explanation:

Step1: Identify angle relationship

From the diagram, $\angle 1 + \angle 2 + \angle 3 = 180^\circ$, and $\angle 2 = 90^\circ$. Substitute $\angle 2$:
$2x + 90 + 3x = 180$

Step2: Combine like terms

Combine the $x$ terms:
$5x + 90 = 180$

Step3: Isolate the variable term

Subtract 90 from both sides:
$5x = 180 - 90 = 90$

Step4: Solve for $x$

Divide both sides by 5:
$x = \frac{90}{5} = 18$

Step5: Calculate $m\angle1$

Substitute $x$ into $m\angle1 = 2x$:
$m\angle1 = 2 \times 18 = 36$

Answer:

$36$