Grades 9-10 Video Solutions 2021-video 2021 9-10/19

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Video Summary

The problem involves calculating the sum of six marked angles within a polygon formed by a rectangle divided into two sections. The polygon has 10 sides, so using the formula for the sum of interior angles, \(180 \times (10 - 2)\), the total is 1,440 degrees. Since 360 degrees (the four 90-degree corners of the rectangle) are not part of the marked angles, this is subtracted from 1,440, resulting in 1,080 degrees. Therefore, the sum of the six marked angles is 1,080 degrees, corresponding to answer choice C.

Keywords

polygon

interior angles

rectangle

geometry

sum of angles