Question

the diagram shows a triangle.
what is the value of w?
w = \square^\circ
save answer

Explanation:

Step1: Sum triangle interior angles

The sum of angles in a triangle is $180^\circ$, so set up the equation:
$$104 + 44 + 2w = 180$$

Step2: Simplify the left side

Add the known angles:
$$148 + 2w = 180$$

Step3: Isolate the term with $w$

Subtract 148 from both sides:
$$2w = 180 - 148$$
$$2w = 32$$

Step4: Solve for $w$

Divide both sides by 2:
$$w = \frac{32}{2}$$

Answer:

$16$