Question

the diagram shows a triangle.
what is the value of w?
w = \boxed{}^\circ

Explanation:

Step1: Sum angles to 180°

$(w-45^\circ)+(w-48^\circ)+35^\circ=180^\circ$

Step2: Simplify left side

$2w - 58^\circ=180^\circ$

Step3: Isolate $2w$

$2w=180^\circ+58^\circ=238^\circ$

Step4: Solve for $w$

$w=\frac{238^\circ}{2}$

Answer:

$119^\circ$