Davison Adkins
03/04/2024 · Junior High School
The sum of intorior anyles of polygon is 1980 Find the number of triangle the polyyon can be subdirided into \( \begin{array}{r}1480 \div 180 \\ =3211 \text { brangles of the polygon }\end{array} \) \[ \]
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Tutor-Verified Answer
Step-by-step Solution
To find the number of triangles that a polygon can be subdivided into, we can use the formula:
\[ \text{Number of triangles} = \frac{\text{Sum of interior angles of the polygon}}{180} \]
Given that the sum of interior angles of the polygon is 1980, we can substitute this value into the formula to find the number of triangles:
\[ \text{Number of triangles} = \frac{1980}{180} \]
Let's calculate this:
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1980}{180}\)
- step1: Divide the terms:
\(11\)
The number of triangles that the polygon can be subdivided into is 11.
Quick Answer
The polygon can be subdivided into 11 triangles.
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