the diagram shows a convex polygon.\nwhat is the sum of the interior angle measures of this polygon?
the diagram shows a convex polygon.\nwhat is the sum of the interior angle measures of this polygon?
Answer
Explanation:
Step1: Identify polygon side count
The polygon has 4 sides (quadrilateral).
Step2: Apply interior angle sum formula
Use the formula for sum of interior angles of an $n$-sided polygon: $(n-2) \times 180^\circ$. For $n=4$: $$(4-2) \times 180^\circ = 2 \times 180^\circ$$
Step3: Calculate final value
$$2 \times 180^\circ = 360^\circ$$
Answer:
$360$