Question

the diagram shows a triangle. what is the value of w?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, 48°+2w + 2w=180°.

Step2: Combine like - terms

Combine the terms with w: 48° + 4w=180°.

Step3: Isolate the term with w

Subtract 48° from both sides: 4w=180° - 48°.
So, 4w = 132°.

Step4: Solve for w

Divide both sides by 4: w=$\frac{132^{\circ}}{4}$.
w = 33°.

Answer:

33°