what is the sum of the angle measures in this shape?
what is the sum of the angle measures in this shape?
Answer
Explanation:
Step1: Recall angle - sum formula for polygons
The sum of interior angles of a polygon is given by $(n - 2)\times180^{\circ}$, where $n$ is the number of sides.
Step2: Identify number of sides of the polygon
The given shape is a triangle, so $n = 3$.
Step3: Calculate the sum of interior angles
Substitute $n = 3$ into the formula: $(3 - 2)\times180^{\circ}=1\times180^{\circ}=180^{\circ}$.
Answer:
$180^{\circ}$